201002054020131 has 128 divisors (see below), whose sum is σ = 343400450641920. Its totient is φ = 101714530756608.

The previous prime is 201002054020067. The next prime is 201002054020171. The reversal of 201002054020131 is 131020450200102.

201002054020131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 201002054020131 - 2⁶ = 201002054020067 is a prime.

It is a super-2 number, since 2×201002054020131² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 201002054020098 and 201002054020107.

It is not an unprimeable number, because it can be changed into a prime (201002054020171) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3560492101 + ... + 3560548553.

It is an arithmetic number, because the mean of its divisors is an integer number (2682816020640).

Almost surely, 2^{201002054020131} is an apocalyptic number.

201002054020131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

201002054020131 is a deficient number, since it is larger than the sum of its proper divisors (142398396621789).

201002054020131 is a wasteful number, since it uses less digits than its factorization.

201002054020131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59365.

The product of its (nonzero) digits is 480, while the sum is 21.

The spelling of 201002054020131 in words is "two hundred one trillion, two billion, fifty-four million, twenty thousand, one hundred thirty-one".