131613331261 has 32 divisors (see below), whose sum is σ = 139788288000. Its totient is φ = 123750244800.

The previous prime is 131613331247. The next prime is 131613331307. The reversal of 131613331261 is 162133316131.

It is a cyclic number.

It is not a de Polignac number, because 131613331261 - 2⁵ = 131613331229 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131613331211) 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 31 ways as a sum of consecutive naturals, for example, 43884240 + ... + 43887238.

It is an arithmetic number, because the mean of its divisors is an integer number (4368384000).

Almost surely, 2^131613331261 is an apocalyptic number.

It is an amenable number.

131613331261 is a deficient number, since it is larger than the sum of its proper divisors (8174956739).

131613331261 is a wasteful number, since it uses less digits than its factorization.

131613331261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3385.

The product of its digits is 5832, while the sum is 31.

Adding to 131613331261 its reverse (162133316131), we get a palindrome (293746647392).

The spelling of 131613331261 in words is "one hundred thirty-one billion, six hundred thirteen million, three hundred thirty-one thousand, two hundred sixty-one".