313121130102 has 288 divisors, whose sum is σ = 819215265024. Its totient is φ = 85625164800.

The previous prime is 313121130097. The next prime is 313121130131. The reversal of 313121130102 is 201031121313.

313121130102 is a `hidden beast` number, since 313 + 121 + 130 + 102 = 666.

It is a super-2 number, since 2×313121130102² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 150321153 + ... + 150323235.

It is an arithmetic number, because the mean of its divisors is an integer number (2844497448).

Almost surely, 2^313121130102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313121130102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409607632512).

313121130102 is an abundant number, since it is smaller than the sum of its proper divisors (506094134922).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313121130102 is a wasteful number, since it uses less digits than its factorization.

313121130102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244 (or 2224 counting only the distinct ones).

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

Adding to 313121130102 its reverse (201031121313), we get a palindrome (514152251415).

The spelling of 313121130102 in words is "three hundred thirteen billion, one hundred twenty-one million, one hundred thirty thousand, one hundred two".