131133331131 has 16 divisors (see below), whose sum is σ = 191229742080. Its totient is φ = 79270433120.

The previous prime is 131133331127. The next prime is 131133331169.

131133331131 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 131133331131 - 2² = 131133331127 is a prime.

It is a super-2 number, since 2×131133331131² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (131133331181) 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, 5094795 + ... + 5120468.

It is an arithmetic number, because the mean of its divisors is an integer number (11951858880).

Almost surely, 2^131133331131 is an apocalyptic number.

131133331131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131133331131 is a deficient number, since it is larger than the sum of its proper divisors (60096410949).

131133331131 is a wasteful number, since it uses less digits than its factorization.

131133331131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10215666.

The product of its digits is 729, while the sum is 24.

It can be divided in two parts, 131133 and 331131, that added together give a palindrome (462264).

The spelling of 131133331131 in words is "one hundred thirty-one billion, one hundred thirty-three million, three hundred thirty-one thousand, one hundred thirty-one".