131313131233031 has 16 divisors (see below), whose sum is σ = 143348468517888. Its totient is φ = 119294114688000.

The previous prime is 131313131233021. The next prime is 131313131233079. The reversal of 131313131233031 is 130332131313131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131313131233031 is a prime.

It is a super-2 number, since 2×131313131233031² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131313131232985 and 131313131233003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131313131233021) 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, 109039175 + ... + 110236871.

It is an arithmetic number, because the mean of its divisors is an integer number (8959279282368).

Almost surely, 2^{131313131233031} is an apocalyptic number.

131313131233031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131313131233031 is a deficient number, since it is larger than the sum of its proper divisors (12035337284857).

131313131233031 is a wasteful number, since it uses less digits than its factorization.

131313131233031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204502.

The product of its (nonzero) digits is 4374, while the sum is 29.

Adding to 131313131233031 its reverse (130332131313131), we get a palindrome (261645262546162).

The spelling of 131313131233031 in words is "one hundred thirty-one trillion, three hundred thirteen billion, one hundred thirty-one million, two hundred thirty-three thousand, thirty-one".