102131011211313 has 32 divisors (see below), whose sum is σ = 156641570215936. Its totient is φ = 57981790718208.

The previous prime is 102131011211303. The next prime is 102131011211351. The reversal of 102131011211313 is 313112110131201.

It is a de Polignac number, because none of the positive numbers 2^k-102131011211313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 102131011211313.

It is not an unprimeable number, because it can be changed into a prime (102131011211303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23494381 + ... + 27499962.

It is an arithmetic number, because the mean of its divisors is an integer number (4895049069248).

Almost surely, 2^{102131011211313} is an apocalyptic number.

It is an amenable number.

102131011211313 is a deficient number, since it is larger than the sum of its proper divisors (54510559004623).

102131011211313 is a wasteful number, since it uses less digits than its factorization.

102131011211313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50994973.

The product of its (nonzero) digits is 108, while the sum is 21.

Adding to 102131011211313 its reverse (313112110131201), we get a palindrome (415243121342514).

The spelling of 102131011211313 in words is "one hundred two trillion, one hundred thirty-one billion, eleven million, two hundred eleven thousand, three hundred thirteen".