13010012100100 has 72 divisors (see below), whose sum is σ = 29206141077960. Its totient is φ = 5024400353280.

The previous prime is 13010012100083. The next prime is 13010012100131. The reversal of 13010012100100 is 100121001031.

It can be written as a sum of positive squares in 12 ways, for example, as 212063934016 + 12797948166084 = 460504^2 + 3577422^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146443294 + ... + 146532106.

It is an arithmetic number, because the mean of its divisors is an integer number (405640848305).

Almost surely, 2^{13010012100100} is an apocalyptic number.

13010012100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13010012100100 is an abundant number, since it is smaller than the sum of its proper divisors (16196128977860).

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

13010012100100 is a wasteful number, since it uses less digits than its factorization.

13010012100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139369 (or 139362 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 13010012100100 its reverse (100121001031), we get a palindrome (13110133101131).

The spelling of 13010012100100 in words is "thirteen trillion, ten billion, twelve million, one hundred thousand, one hundred".