102131122013 has 4 divisors (see below), whose sum is σ = 105425674368. Its totient is φ = 98836569660.

The previous prime is 102131121991. The next prime is 102131122021. The reversal of 102131122013 is 310221131201.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 310221131201 = 73 ⋅4249604537.

It is a cyclic number.

It is not a de Polignac number, because 102131122013 - 2¹² = 102131117917 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102131121982 and 102131122000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102131142013) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1647276131 + ... + 1647276192.

It is an arithmetic number, because the mean of its divisors is an integer number (26356418592).

Almost surely, 2^102131122013 is an apocalyptic number.

It is an amenable number.

102131122013 is a deficient number, since it is larger than the sum of its proper divisors (3294552355).

102131122013 is an equidigital number, since it uses as much as digits as its factorization.

102131122013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3294552354.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 102131122013 its reverse (310221131201), we get a palindrome (412352253214).

The spelling of 102131122013 in words is "one hundred two billion, one hundred thirty-one million, one hundred twenty-two thousand, thirteen".