13038617700 has 54 divisors (see below), whose sum is σ = 40868825634. Its totient is φ = 3476964480.

The previous prime is 13038617699. The next prime is 13038617731. The reversal of 13038617700 is 771683031.

13038617700 is a `hidden beast` number, since 1 + 3 + 0 + 38 + 617 + 7 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2916648036 + 10121969664 = 54006^2 + 100608^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 7242777 + ... + 7244576.

Almost surely, 2^13038617700 is an apocalyptic number.

13038617700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13038617700 is an abundant number, since it is smaller than the sum of its proper divisors (27830207934).

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

13038617700 is a wasteful number, since it uses less digits than its factorization.

13038617700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14487373 (or 14487363 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 13038617700 in words is "thirteen billion, thirty-eight million, six hundred seventeen thousand, seven hundred".