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13130112020020 = 2253230920319589
BaseRepresentation
bin1011111100010001011110…
…1010011010111000110100
31201111020010002012222110221
42333010113222122320310
53210110432134120040
643531520140424124
72523422262462622
oct277042752327064
951436102188427
1013130112020020
1142024a3a30156
121580853b48044
13743219b21888
14335702330512
1517b82727674a
hexbf117a9ae34

13130112020020 has 24 divisors (see below), whose sum is σ = 27574090021800. Its totient is φ = 5251881992832.

The previous prime is 13130112019993. The next prime is 13130112020041. The reversal of 13130112020020 is 2002021103131.

It can be written as a sum of positive squares in 4 ways, for example, as 693895664016 + 12436216356004 = 833004^2 + 3526502^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13130112019976 and 13130112020003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9513615 + ... + 10805974.

It is an arithmetic number, because the mean of its divisors is an integer number (1148920417575).

Almost surely, 213130112020020 is an apocalyptic number.

13130112020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13130112020020 is an abundant number, since it is smaller than the sum of its proper divisors (14443978001780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13130112020020 is a wasteful number, since it uses less digits than its factorization.

13130112020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20351907 (or 20351905 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13130112020020 its reverse (2002021103131), we get a palindrome (15132133123151).

The spelling of 13130112020020 in words is "thirteen trillion, one hundred thirty billion, one hundred twelve million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 32309 64618 129236 161545 323090 646180 20319589 40639178 81278356 101597945 203195890 406391780 656505601001 1313011202002 2626022404004 3282528005005 6565056010010 13130112020020