102514121313 has 16 divisors (see below), whose sum is σ = 137621030400. Its totient is φ = 67875101696.

The previous prime is 102514121291. The next prime is 102514121317. The reversal of 102514121313 is 313121415201.

It is a cyclic number.

It is not a de Polignac number, because 102514121313 - 2²⁶ = 102447012449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102514121317) 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, 6543856 + ... + 6559502.

It is an arithmetic number, because the mean of its divisors is an integer number (8601314400).

Almost surely, 2^102514121313 is an apocalyptic number.

It is an amenable number.

102514121313 is a deficient number, since it is larger than the sum of its proper divisors (35106909087).

102514121313 is a wasteful number, since it uses less digits than its factorization.

102514121313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30456.

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 102514121313 its reverse (313121415201), we get a palindrome (415635536514).

It can be divided in two parts, 102 and 514121313, that added together give a palindrome (514121415).

The spelling of 102514121313 in words is "one hundred two billion, five hundred fourteen million, one hundred twenty-one thousand, three hundred thirteen".