131077770131 has 16 divisors (see below), whose sum is σ = 163937191680. Its totient is φ = 101816299680.

The previous prime is 131077770127. The next prime is 131077770157.

131077770131 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 131077770131 - 2² = 131077770127 is a prime.

It is a super-2 number, since 2×131077770131² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131077778131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2660621 + ... + 2709438.

It is an arithmetic number, because the mean of its divisors is an integer number (10246074480).

Almost surely, 2^131077770131 is an apocalyptic number.

131077770131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131077770131 is a deficient number, since it is larger than the sum of its proper divisors (32859421549).

131077770131 is a wasteful number, since it uses less digits than its factorization.

131077770131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5370394.

The product of its (nonzero) digits is 21609, while the sum is 38.

The spelling of 131077770131 in words is "one hundred thirty-one billion, seventy-seven million, seven hundred seventy thousand, one hundred thirty-one".