131110311121001 has 16 divisors (see below), whose sum is σ = 147375327782400. Its totient is φ = 116058070598400.

The previous prime is 131110311120977. The next prime is 131110311121003. The reversal of 131110311121001 is 100121113011131.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131110311121001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131110311121003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3837882080 + ... + 3837916241.

It is an arithmetic number, because the mean of its divisors is an integer number (9210957986400).

Almost surely, 2^{131110311121001} is an apocalyptic number.

It is an amenable number.

131110311121001 is a deficient number, since it is larger than the sum of its proper divisors (16265016661399).

131110311121001 is a wasteful number, since it uses less digits than its factorization.

131110311121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7675798400.

The product of its (nonzero) digits is 18, while the sum is 17.

Adding to 131110311121001 its reverse (100121113011131), we get a palindrome (231231424132132).

The spelling of 131110311121001 in words is "one hundred thirty-one trillion, one hundred ten billion, three hundred eleven million, one hundred twenty-one thousand, one".