201313202100131 has 64 divisors (see below), whose sum is σ = 234314762895360. Its totient is φ = 171156598800000.

The previous prime is 201313202100107. The next prime is 201313202100163. The reversal of 201313202100131 is 131001202313102.

It is a happy number.

It is not a de Polignac number, because 201313202100131 - 2¹⁸ = 201313201837987 is a prime.

It is a super-2 number, since 2×201313202100131² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201313202700131) 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, 1948410890 + ... + 1948514208.

It is an arithmetic number, because the mean of its divisors is an integer number (3661168170240).

Almost surely, 2^{201313202100131} is an apocalyptic number.

201313202100131 is a deficient number, since it is larger than the sum of its proper divisors (33001560795229).

201313202100131 is a wasteful number, since it uses less digits than its factorization.

201313202100131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104168.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 201313202100131 its reverse (131001202313102), we get a palindrome (332314404413233).

The spelling of 201313202100131 in words is "two hundred one trillion, three hundred thirteen billion, two hundred two million, one hundred thousand, one hundred thirty-one".