102131120013 has 8 divisors (see below), whose sum is σ = 146649813408. Its totient is φ = 62849919984.

The previous prime is 102131119949. The next prime is 102131120023. The reversal of 102131120013 is 310021131201.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 102131120013 - 2⁶ = 102131119949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102131119974 and 102131120001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102131120023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1309373295 + ... + 1309373372.

It is an arithmetic number, because the mean of its divisors is an integer number (18331226676).

Almost surely, 2^102131120013 is an apocalyptic number.

102131120013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102131120013 is a deficient number, since it is larger than the sum of its proper divisors (44518693395).

102131120013 is a wasteful number, since it uses less digits than its factorization.

102131120013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618746683.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 102131120013 its reverse (310021131201), we get a palindrome (412152251214).

The spelling of 102131120013 in words is "one hundred two billion, one hundred thirty-one million, one hundred twenty thousand, thirteen".