1313033112100 has 72 divisors (see below), whose sum is σ = 3021136947360. Its totient is φ = 493938443520.

The previous prime is 1313033112073. The next prime is 1313033112107. The reversal of 1313033112100 is 12113303131.

It is a super-2 number, since 2×1313033112100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (1313033112107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2261854 + ... + 2782453.

It is an arithmetic number, because the mean of its divisors is an integer number (41960235380).

Almost surely, 2^{1313033112100} is an apocalyptic number.

1313033112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313033112100 is an abundant number, since it is smaller than the sum of its proper divisors (1708103835260).

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

1313033112100 is a wasteful number, since it uses less digits than its factorization.

1313033112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5044477 (or 5044470 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 1313033112100 its reverse (12113303131), we get a palindrome (1325146415231).

The spelling of 1313033112100 in words is "one trillion, three hundred thirteen billion, thirty-three million, one hundred twelve thousand, one hundred".