13134596900 has 36 divisors (see below), whose sum is σ = 28539306180. Its totient is φ = 5246976000.

The previous prime is 13134596873. The next prime is 13134596903. The reversal of 13134596900 is 969543131.

It can be written as a sum of positive squares in 6 ways, for example, as 30758116 + 13103838784 = 5546^2 + 114472^2 .

It is a super-2 number, since 2×13134596900² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13134596903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8501 + ... + 162300.

It is an arithmetic number, because the mean of its divisors is an integer number (792758505).

Almost surely, 2^13134596900 is an apocalyptic number.

13134596900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13134596900 is an abundant number, since it is smaller than the sum of its proper divisors (15404709280).

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

13134596900 is a wasteful number, since it uses less digits than its factorization.

13134596900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171584 (or 171577 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 41.

The spelling of 13134596900 in words is "thirteen billion, one hundred thirty-four million, five hundred ninety-six thousand, nine hundred".