123021010112013 has 144 divisors (see below), whose sum is σ = 204870991118976. Its totient is φ = 70856008704000.

The previous prime is 123021010112003. The next prime is 123021010112027. The reversal of 123021010112013 is 310211010120321.

123021010112013 is a `hidden beast` number, since 1 + 230 + 210 + 10 + 11 + 201 + 3 = 666.

It is not a de Polignac number, because 123021010112013 - 2¹⁶ = 123021010046477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123021010112003) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4199084581 + ... + 4199113877.

It is an arithmetic number, because the mean of its divisors is an integer number (1422715216104).

Almost surely, 2^{123021010112013} is an apocalyptic number.

123021010112013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

123021010112013 is a deficient number, since it is larger than the sum of its proper divisors (81849981006963).

123021010112013 is a wasteful number, since it uses less digits than its factorization.

123021010112013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30244 (or 30228 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 123021010112013 its reverse (310211010120321), we get a palindrome (433232020232334).

The spelling of 123021010112013 in words is "one hundred twenty-three trillion, twenty-one billion, ten million, one hundred twelve thousand, thirteen".