102123313002113 has 64 divisors (see below), whose sum is σ = 120909919764480. Its totient is φ = 85504757587200.

The previous prime is 102123313002101. The next prime is 102123313002173. The reversal of 102123313002113 is 311200313321201.

It is not a de Polignac number, because 102123313002113 - 2⁶ = 102123313002049 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102123313002173) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81290828 + ... + 82537538.

It is an arithmetic number, because the mean of its divisors is an integer number (1889217496320).

Almost surely, 2^{102123313002113} is an apocalyptic number.

102123313002113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102123313002113 is a deficient number, since it is larger than the sum of its proper divisors (18786606762367).

102123313002113 is a wasteful number, since it uses less digits than its factorization.

102123313002113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246990.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 102123313002113 its reverse (311200313321201), we get a palindrome (413323626323314).

The spelling of 102123313002113 in words is "one hundred two trillion, one hundred twenty-three billion, three hundred thirteen million, two thousand, one hundred thirteen".