10131123102113 has 24 divisors (see below), whose sum is σ = 11004009307200. Its totient is φ = 9323154869184.

The previous prime is 10131123102109. The next prime is 10131123102137. The reversal of 10131123102113 is 31120132113101.

It is not a de Polignac number, because 10131123102113 - 2² = 10131123102109 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10131123102103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414535148 + ... + 414559586.

It is an arithmetic number, because the mean of its divisors is an integer number (458500387800).

Almost surely, 2^{10131123102113} is an apocalyptic number.

10131123102113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10131123102113 is a deficient number, since it is larger than the sum of its proper divisors (872886205087).

10131123102113 is a wasteful number, since it uses less digits than its factorization.

10131123102113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31881 (or 31868 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 10131123102113 its reverse (31120132113101), we get a palindrome (41251255215214).

The spelling of 10131123102113 in words is "ten trillion, one hundred thirty-one billion, one hundred twenty-three million, one hundred two thousand, one hundred thirteen".