13100023123121 has 32 divisors (see below), whose sum is σ = 14378552215680. Its totient is φ = 11836303718400.

The previous prime is 13100023123051. The next prime is 13100023123147. The reversal of 13100023123121 is 12132132000131.

It is a happy number.

13100023123121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13100023123121 - 2²² = 13100018928817 is a prime.

It is a super-2 number, since 2×13100023123121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13100023123093 and 13100023123102.

It is not an unprimeable number, because it can be changed into a prime (13100023129121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6494804705 + ... + 6494806721.

It is an arithmetic number, because the mean of its divisors is an integer number (449329756740).

Almost surely, 2^{13100023123121} is an apocalyptic number.

13100023123121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13100023123121 is a deficient number, since it is larger than the sum of its proper divisors (1278529092559).

13100023123121 is a wasteful number, since it uses less digits than its factorization.

13100023123121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5505.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13100023123121 its reverse (12132132000131), we get a palindrome (25232155123252).

The spelling of 13100023123121 in words is "thirteen trillion, one hundred billion, twenty-three million, one hundred twenty-three thousand, one hundred twenty-one".