131022011100401 has 24 divisors (see below), whose sum is σ = 140112841094400. Its totient is φ = 122490703296000.

The previous prime is 131022011100319. The next prime is 131022011100413. The reversal of 131022011100401 is 104001110220131.

It is not a de Polignac number, because 131022011100401 - 2³⁴ = 131004831231217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 131022011100401.

It is not an unprimeable number, because it can be changed into a prime (131022011100451) 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, 793754525 + ... + 793919573.

It is an arithmetic number, because the mean of its divisors is an integer number (5838035045600).

Almost surely, 2^{131022011100401} is an apocalyptic number.

It is an amenable number.

131022011100401 is a deficient number, since it is larger than the sum of its proper divisors (9090829993999).

131022011100401 is a wasteful number, since it uses less digits than its factorization.

131022011100401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183425 (or 183408 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 131022011100401 its reverse (104001110220131), we get a palindrome (235023121320532).

The spelling of 131022011100401 in words is "one hundred thirty-one trillion, twenty-two billion, eleven million, one hundred thousand, four hundred one".