101313033201 has 64 divisors (see below), whose sum is σ = 162625536000. Its totient is φ = 62144470080.

The previous prime is 101313033187. The next prime is 101313033229. The reversal of 101313033201 is 102330313101.

It is a happy number.

101313033201 is a `hidden beast` number, since 10 + 1 + 31 + 303 + 320 + 1 = 666.

It is not a de Polignac number, because 101313033201 - 2⁵ = 101313033169 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101313033901) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4870060 + ... + 4890818.

It is an arithmetic number, because the mean of its divisors is an integer number (2541024000).

Almost surely, 2^101313033201 is an apocalyptic number.

It is an amenable number.

101313033201 is a deficient number, since it is larger than the sum of its proper divisors (61312502799).

101313033201 is a wasteful number, since it uses less digits than its factorization.

101313033201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21091 (or 21085 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 101313033201 its reverse (102330313101), we get a palindrome (203643346302).

The spelling of 101313033201 in words is "one hundred one billion, three hundred thirteen million, thirty-three thousand, two hundred one".