102131133313 has 6 divisors (see below), whose sum is σ = 112259840882. Its totient is φ = 92846484720.

The previous prime is 102131133289. The next prime is 102131133347. The reversal of 102131133313 is 313331131201.

It can be written as a sum of positive squares in only one way, i.e., 62284186624 + 39846946689 = 249568^2 + 199617^2 .

It is not a de Polignac number, because 102131133313 - 2⁵ = 102131133281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102131133383) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 422029356 + ... + 422029597.

Almost surely, 2^102131133313 is an apocalyptic number.

It is an amenable number.

102131133313 is a deficient number, since it is larger than the sum of its proper divisors (10128707569).

102131133313 is an equidigital number, since it uses as much as digits as its factorization.

102131133313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844058975 (or 844058964 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 102131133313 its reverse (313331131201), we get a palindrome (415462264514).

The spelling of 102131133313 in words is "one hundred two billion, one hundred thirty-one million, one hundred thirty-three thousand, three hundred thirteen".