102010103323313 has 32 divisors (see below), whose sum is σ = 106117885188000. Its totient is φ = 97977170903040.

The previous prime is 102010103323307. The next prime is 102010103323409. The reversal of 102010103323313 is 313323301010201.

It can be written as a sum of positive squares in 16 ways, for example, as 4859767342144 + 97150335981169 = 2204488^2 + 9856487^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102010103323313 is a prime.

It is a super-2 number, since 2×102010103323313² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102010103322313) 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, 8314453343 + ... + 8314465611.

It is an arithmetic number, because the mean of its divisors is an integer number (3316183912125).

Almost surely, 2^{102010103323313} is an apocalyptic number.

It is an amenable number.

102010103323313 is a deficient number, since it is larger than the sum of its proper divisors (4107781864687).

102010103323313 is a wasteful number, since it uses less digits than its factorization.

102010103323313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16325.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 102010103323313 its reverse (313323301010201), we get a palindrome (415333404333514).

The spelling of 102010103323313 in words is "one hundred two trillion, ten billion, one hundred three million, three hundred twenty-three thousand, three hundred thirteen".