10312121133013 has 16 divisors (see below), whose sum is σ = 12833337168000. Its totient is φ = 8085002409792.

The previous prime is 10312121133007. The next prime is 10312121133029. The reversal of 10312121133013 is 31033112121301.

10312121133013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10312121133013 - 2²¹ = 10312119035861 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10312121133113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1336802098 + ... + 1336809811.

It is an arithmetic number, because the mean of its divisors is an integer number (802083573000).

Almost surely, 2^{10312121133013} is an apocalyptic number.

It is an amenable number.

10312121133013 is a deficient number, since it is larger than the sum of its proper divisors (2521216034987).

10312121133013 is a wasteful number, since it uses less digits than its factorization.

10312121133013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2673611964.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 10312121133013 its reverse (31033112121301), we get a palindrome (41345233254314).

The spelling of 10312121133013 in words is "ten trillion, three hundred twelve billion, one hundred twenty-one million, one hundred thirty-three thousand, thirteen".