13002210230100 has 576 divisors, whose sum is σ = 49192443148800. Its totient is φ = 2577133117440.

The previous prime is 13002210230089. The next prime is 13002210230173. The reversal of 13002210230100 is 103201220031.

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 13002210230100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29070966 + ... + 29514834.

Almost surely, 2^{13002210230100} is an apocalyptic number.

13002210230100 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 13002210230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24596221574400).

13002210230100 is an abundant number, since it is smaller than the sum of its proper divisors (36190232918700).

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

13002210230100 is a wasteful number, since it uses less digits than its factorization.

13002210230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443972 (or 443965 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13002210230100 its reverse (103201220031), we get a palindrome (13105411450131).

The spelling of 13002210230100 in words is "thirteen trillion, two billion, two hundred ten million, two hundred thirty thousand, one hundred".