131313120021333 has 10 divisors (see below), whose sum is σ = 196159105217174. Its totient is φ = 87542080014168.

The previous prime is 131313120021277. The next prime is 131313120021337. The reversal of 131313120021333 is 333120021313131.

131313120021333 is a `hidden beast` number, since 1 + 3 + 1 + 313 + 12 + 0 + 0 + 2 + 1 + 333 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72878439650769 + 58434680370564 = 8536887^2 + 7644258^2 .

It is not a de Polignac number, because 131313120021333 - 2⁸ = 131313120021077 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131313120021297 and 131313120021306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131313120021337) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 810574814866 + ... + 810574815027.

Almost surely, 2^{131313120021333} is an apocalyptic number.

It is an amenable number.

131313120021333 is a deficient number, since it is larger than the sum of its proper divisors (64845985195841).

131313120021333 is an equidigital number, since it uses as much as digits as its factorization.

131313120021333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621149629905 (or 1621149629896 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 131313120021333 its reverse (333120021313131), we get a palindrome (464433141334464).

The spelling of 131313120021333 in words is "one hundred thirty-one trillion, three hundred thirteen billion, one hundred twenty million, twenty-one thousand, three hundred thirty-three".