1131414320 has 80 divisors (see below), whose sum is σ = 2691390240. Its totient is φ = 442171392.

The previous prime is 1131414307. The next prime is 1131414341. The reversal of 1131414320 is 234141311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1131414292 and 1131414301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1470896 + ... + 1471664.

It is an arithmetic number, because the mean of its divisors is an integer number (33642378).

Almost surely, 2^1131414320 is an apocalyptic number.

1131414320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131414320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345695120).

1131414320 is an abundant number, since it is smaller than the sum of its proper divisors (1559975920).

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

1131414320 is a wasteful number, since it uses less digits than its factorization.

1131414320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1131414320 is about 33636.5027908669. The cubic root of 1131414320 is about 1042.0148071817.

Adding to 1131414320 its reverse (234141311), we get a palindrome (1365555631).

The spelling of 1131414320 in words is "one billion, one hundred thirty-one million, four hundred fourteen thousand, three hundred twenty".