131011113310401 has 16 divisors (see below), whose sum is σ = 183876083508800. Its totient is φ = 82743484497408.

The previous prime is 131011113310373. The next prime is 131011113310457. The reversal of 131011113310401 is 104013311110131.

It is not a de Polignac number, because 131011113310401 - 2²³ = 131011104921793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131011113320401) 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, 7682985 + ... + 17917881.

It is an arithmetic number, because the mean of its divisors is an integer number (11492255219300).

Almost surely, 2^{131011113310401} is an apocalyptic number.

It is an amenable number.

131011113310401 is a deficient number, since it is larger than the sum of its proper divisors (52864970198399).

131011113310401 is a wasteful number, since it uses less digits than its factorization.

131011113310401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10459488.

The product of its (nonzero) digits is 108, while the sum is 21.

Adding to 131011113310401 its reverse (104013311110131), we get a palindrome (235024424420532).

The spelling of 131011113310401 in words is "one hundred thirty-one trillion, eleven billion, one hundred thirteen million, three hundred ten thousand, four hundred one".