131013112401 has 48 divisors (see below), whose sum is σ = 196246582272. Its totient is φ = 84171484800.

The previous prime is 131013112379. The next prime is 131013112459. The reversal of 131013112401 is 104211310131.

It is a happy number.

131013112401 is a `hidden beast` number, since 1 + 310 + 1 + 311 + 2 + 40 + 1 = 666.

It is not a de Polignac number, because 131013112401 - 2¹¹ = 131013110353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131013112801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23944096 + ... + 23949566.

It is an arithmetic number, because the mean of its divisors is an integer number (4088470464).

Almost surely, 2^131013112401 is an apocalyptic number.

It is an amenable number.

131013112401 is a deficient number, since it is larger than the sum of its proper divisors (65233469871).

131013112401 is a wasteful number, since it uses less digits than its factorization.

131013112401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6414 (or 6411 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 131013112401 its reverse (104211310131), we get a palindrome (235224422532).

The spelling of 131013112401 in words is "one hundred thirty-one billion, thirteen million, one hundred twelve thousand, four hundred one".