13134002012100 has 54 divisors (see below), whose sum is σ = 41167799642970. Its totient is φ = 3502400536320.

The previous prime is 13134002012081. The next prime is 13134002012147. The reversal of 13134002012100 is 121020043131.

13134002012100 is a `hidden beast` number, since 1 + 31 + 3 + 400 + 20 + 1 + 210 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 577028621376 + 12556973390724 = 759624^2 + 3543582^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7296666885 + ... + 7296668684.

It is an arithmetic number, because the mean of its divisors is an integer number (762366660055).

Almost surely, 2^{13134002012100} is an apocalyptic number.

13134002012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13134002012100 is an abundant number, since it is smaller than the sum of its proper divisors (28033797630870).

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

13134002012100 is a wasteful number, since it uses less digits than its factorization.

13134002012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14593335589 (or 14593335579 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13134002012100 its reverse (121020043131), we get a palindrome (13255022055231).

The spelling of 13134002012100 in words is "thirteen trillion, one hundred thirty-four billion, two million, twelve thousand, one hundred".