13100032100 has 18 divisors (see below), whose sum is σ = 28427069874. Its totient is φ = 5240012800.

The previous prime is 13100032097. The next prime is 13100032103. The reversal of 13100032100 is 123000131.

It is an interprime number because it is at equal distance from previous prime (13100032097) and next prime (13100032103).

It can be written as a sum of positive squares in 3 ways, for example, as 2446489444 + 10653542656 = 49462^2 + 103216^2 .

It is a super-2 number, since 2×13100032100² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13100032103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65500061 + ... + 65500260.

Almost surely, 2^13100032100 is an apocalyptic number.

13100032100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13100032100 is an abundant number, since it is smaller than the sum of its proper divisors (15327037774).

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

13100032100 is a wasteful number, since it uses less digits than its factorization.

13100032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131000335 (or 131000328 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 13100032100 its reverse (123000131), we get a palindrome (13223032231).

The spelling of 13100032100 in words is "thirteen billion, one hundred million, thirty-two thousand, one hundred".