10121332313313 has 96 divisors (see below), whose sum is σ = 16071978424320. Its totient is φ = 6100411201920.

The previous prime is 10121332313303. The next prime is 10121332313413. The reversal of 10121332313313 is 31331323312101.

10121332313313 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 1 + 3 + 32 + 313 + 313 = 666.

It is not a de Polignac number, because 10121332313313 - 2⁹ = 10121332312801 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10121332313303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 526841278 + ... + 526860488.

It is an arithmetic number, because the mean of its divisors is an integer number (167416441920).

Almost surely, 2^{10121332313313} is an apocalyptic number.

10121332313313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10121332313313 is a deficient number, since it is larger than the sum of its proper divisors (5950646111007).

10121332313313 is a wasteful number, since it uses less digits than its factorization.

10121332313313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19779 (or 19776 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 10121332313313 its reverse (31331323312101), we get a palindrome (41452655625414).

The spelling of 10121332313313 in words is "ten trillion, one hundred twenty-one billion, three hundred thirty-two million, three hundred thirteen thousand, three hundred thirteen".