131313022333133 has 12 divisors (see below), whose sum is σ = 138485296312860. Its totient is φ = 124492222732416.

The previous prime is 131313022333121. The next prime is 131313022333147. The reversal of 131313022333133 is 331333220313131.

It can be written as a sum of positive squares in 2 ways, for example, as 41999900217289 + 89313122115844 = 6480733^2 + 9450562^2 .

It is not a de Polignac number, because 131313022333133 - 2¹⁶ = 131313022267597 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131313022333133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131313022333153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1098297638 + ... + 1098417191.

It is an arithmetic number, because the mean of its divisors is an integer number (11540441359405).

Almost surely, 2^{131313022333133} is an apocalyptic number.

It is an amenable number.

131313022333133 is a deficient number, since it is larger than the sum of its proper divisors (7172273979727).

131313022333133 is a wasteful number, since it uses less digits than its factorization.

131313022333133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196714988 (or 2196714965 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 32.

Adding to 131313022333133 its reverse (331333220313131), we get a palindrome (462646242646264).

The spelling of 131313022333133 in words is "one hundred thirty-one trillion, three hundred thirteen billion, twenty-two million, three hundred thirty-three thousand, one hundred thirty-three".