201001320013131 has 24 divisors (see below), whose sum is σ = 325289605530864. Its totient is φ = 118526576909760.

The previous prime is 201001320013099. The next prime is 201001320013303. The reversal of 201001320013131 is 131310023100102.

201001320013131 is a `hidden beast` number, since 20 + 10 + 0 + 1 + 320 + 0 + 1 + 313 + 1 = 666.

It is not a de Polignac number, because 201001320013131 - 2⁵ = 201001320013099 is a prime.

It is a super-2 number, since 2×201001320013131² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201001320013531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27436703956 + ... + 27436711281.

It is an arithmetic number, because the mean of its divisors is an integer number (13553733563786).

Almost surely, 2^{201001320013131} is an apocalyptic number.

201001320013131 is a deficient number, since it is larger than the sum of its proper divisors (124288285517733).

201001320013131 is a wasteful number, since it uses less digits than its factorization.

201001320013131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54873415291 (or 54873415288 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 201001320013131 its reverse (131310023100102), we get a palindrome (332311343113233).

The spelling of 201001320013131 in words is "two hundred one trillion, one billion, three hundred twenty million, thirteen thousand, one hundred thirty-one".