13013211313100 has 144 divisors (see below), whose sum is σ = 29433582796800. Its totient is φ = 4988529504000.

The previous prime is 13013211313027. The next prime is 13013211313163. The reversal of 13013211313100 is 131311231031.

It is a super-2 number, since 2×13013211313100² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134054381 + ... + 134151419.

Almost surely, 2^{13013211313100} is an apocalyptic number.

13013211313100 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 13013211313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14716791398400).

13013211313100 is an abundant number, since it is smaller than the sum of its proper divisors (16420371483700).

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

13013211313100 is a wasteful number, since it uses less digits than its factorization.

13013211313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97504 (or 97497 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 13013211313100 its reverse (131311231031), we get a palindrome (13144522544131).

The spelling of 13013211313100 in words is "thirteen trillion, thirteen billion, two hundred eleven million, three hundred thirteen thousand, one hundred".