102100313 has 16 divisors (see below), whose sum is σ = 119750400. Its totient is φ = 85240896.

The previous prime is 102100307. The next prime is 102100331. The reversal of 102100313 is 313001201.

It is a cyclic number.

It is not a de Polignac number, because 102100313 - 2²⁶ = 34991449 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102100294 and 102100303.

It is not an unprimeable number, because it can be changed into a prime (102100393) 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, 54356 + ... + 56202.

It is an arithmetic number, because the mean of its divisors is an integer number (7484400).

Almost surely, 2^102100313 is an apocalyptic number.

It is an amenable number.

102100313 is a deficient number, since it is larger than the sum of its proper divisors (17650087).

102100313 is a wasteful number, since it uses less digits than its factorization.

102100313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 102100313 is about 10104.4699514621. The cubic root of 102100313 is about 467.3859910538.

Adding to 102100313 its reverse (313001201), we get a palindrome (415101514).

The spelling of 102100313 in words is "one hundred two million, one hundred thousand, three hundred thirteen".