123001131000321 has 192 divisors, whose sum is σ = 215537839695360. Its totient is φ = 66029064192000.

The previous prime is 123001131000313. The next prime is 123001131000329. The reversal of 123001131000321 is 123000131100321.

123001131000321 is a `hidden beast` number, since 1 + 2 + 30 + 0 + 1 + 1 + 310 + 0 + 0 + 321 = 666.

It is an interprime number because it is at equal distance from previous prime (123001131000313) and next prime (123001131000329).

It is not a de Polignac number, because 123001131000321 - 2³ = 123001131000313 is a prime.

It is a super-2 number, since 2×123001131000321² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123001131000294 and 123001131000303.

It is not an unprimeable number, because it can be changed into a prime (123001131000329) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 75879783891 + ... + 75879785511.

It is an arithmetic number, because the mean of its divisors is an integer number (1122592915080).

Almost surely, 2^{123001131000321} is an apocalyptic number.

It is an amenable number.

123001131000321 is a deficient number, since it is larger than the sum of its proper divisors (92536708695039).

123001131000321 is a wasteful number, since it uses less digits than its factorization.

123001131000321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 123001131000321 its reverse (123000131100321), we get a palindrome (246001262100642).

The spelling of 123001131000321 in words is "one hundred twenty-three trillion, one billion, one hundred thirty-one million, three hundred twenty-one", and thus it is an aban number.