1013310301200 has 240 divisors, whose sum is σ = 3258897994560. Its totient is φ = 269142128640.

The previous prime is 1013310301123. The next prime is 1013310301207. The reversal of 1013310301200 is 21030133101.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1013310301200.

It is not an unprimeable number, because it can be changed into a prime (1013310301207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524215434 + ... + 524217366.

It is an arithmetic number, because the mean of its divisors is an integer number (13578741644).

Almost surely, 2^{1013310301200} is an apocalyptic number.

1013310301200 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 1013310301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629448997280).

1013310301200 is an abundant number, since it is smaller than the sum of its proper divisors (2245587693360).

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

1013310301200 is a wasteful number, since it uses less digits than its factorization.

1013310301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3466 (or 3455 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1013310301200 its reverse (21030133101), we get a palindrome (1034340434301).

The spelling of 1013310301200 in words is "one trillion, thirteen billion, three hundred ten million, three hundred one thousand, two hundred".