13013031110100 has 288 divisors, whose sum is σ = 44456263950336. Its totient is φ = 2875966732800.

The previous prime is 13013031110087. The next prime is 13013031110201. The reversal of 13013031110100 is 101113031031.

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 13013031110100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75625362 + ... + 75797238.

Almost surely, 2^{13013031110100} is an apocalyptic number.

13013031110100 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 13013031110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22228131975168).

13013031110100 is an abundant number, since it is smaller than the sum of its proper divisors (31443232840236).

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

13013031110100 is a wasteful number, since it uses less digits than its factorization.

13013031110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173095 (or 173088 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 13013031110100 its reverse (101113031031), we get a palindrome (13114144141131).

The spelling of 13013031110100 in words is "thirteen trillion, thirteen billion, thirty-one million, one hundred ten thousand, one hundred".