102313013121 has 12 divisors (see below), whose sum is σ = 161220505680. Its totient is φ = 62007886680.

The previous prime is 102313013069. The next prime is 102313013123. The reversal of 102313013121 is 121310313201.

102313013121 is a `hidden beast` number, since 10 + 231 + 301 + 3 + 121 = 666.

It is not a de Polignac number, because 102313013121 - 2²⁷ = 102178795393 is a prime.

It is a super-3 number, since 3×102313013121³ (a number of 34 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102313013094 and 102313013103.

It is not an unprimeable number, because it can be changed into a prime (102313013123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 516732291 + ... + 516732488.

It is an arithmetic number, because the mean of its divisors is an integer number (13435042140).

Almost surely, 2^102313013121 is an apocalyptic number.

102313013121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102313013121 is a deficient number, since it is larger than the sum of its proper divisors (58907492559).

102313013121 is a wasteful number, since it uses less digits than its factorization.

102313013121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033464796 (or 1033464793 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 102313013121 its reverse (121310313201), we get a palindrome (223623326322).

The spelling of 102313013121 in words is "one hundred two billion, three hundred thirteen million, thirteen thousand, one hundred twenty-one".