131331311029 has 16 divisors (see below), whose sum is σ = 139425145776. Its totient is φ = 123278848000.

The previous prime is 131331311009. The next prime is 131331311039. The reversal of 131331311029 is 920113133131.

It can be written as a sum of positive squares in 8 ways, for example, as 523952100 + 130807358929 = 22890^2 + 361673^2 .

It is a cyclic number.

It is not a de Polignac number, because 131331311029 - 2¹¹ = 131331308981 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131331310988 and 131331311006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131331311009) 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, 11122929 + ... + 11134729.

It is an arithmetic number, because the mean of its divisors is an integer number (8714071611).

Almost surely, 2^131331311029 is an apocalyptic number.

It is an amenable number.

131331311029 is a deficient number, since it is larger than the sum of its proper divisors (8093834747).

131331311029 is a wasteful number, since it uses less digits than its factorization.

131331311029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13496.

The product of its (nonzero) digits is 1458, while the sum is 28.

The spelling of 131331311029 in words is "one hundred thirty-one billion, three hundred thirty-one million, three hundred eleven thousand, twenty-nine".