102013221313313 has 32 divisors (see below), whose sum is σ = 114095687040000. Its totient is φ = 90796129320960.

The previous prime is 102013221313309. The next prime is 102013221313391. The reversal of 102013221313313 is 313313122310201.

It is a cyclic number.

It is not a de Polignac number, because 102013221313313 - 2² = 102013221313309 is a prime.

It is a super-2 number, since 2×102013221313313² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102013221393313) 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, 4572353 + ... + 14997761.

It is an arithmetic number, because the mean of its divisors is an integer number (3565490220000).

Almost surely, 2^{102013221313313} is an apocalyptic number.

It is an amenable number.

102013221313313 is a deficient number, since it is larger than the sum of its proper divisors (12082465726687).

102013221313313 is a wasteful number, since it uses less digits than its factorization.

102013221313313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10425945.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 102013221313313 its reverse (313313122310201), we get a palindrome (415326343623514).

The spelling of 102013221313313 in words is "one hundred two trillion, thirteen billion, two hundred twenty-one million, three hundred thirteen thousand, three hundred thirteen".