313144142100 has 216 divisors, whose sum is σ = 959163192960. Its totient is φ = 78860221440.

The previous prime is 313144142093. The next prime is 313144142117. The reversal of 313144142100 is 1241441313.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12524812 + ... + 12549788.

Almost surely, 2^313144142100 is an apocalyptic number.

313144142100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313144142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479581596480).

313144142100 is an abundant number, since it is smaller than the sum of its proper divisors (646019050860).

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

313144142100 is a wasteful number, since it uses less digits than its factorization.

313144142100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25119 (or 25089 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 313144142100 its reverse (1241441313), we get a palindrome (314385583413).

The spelling of 313144142100 in words is "three hundred thirteen billion, one hundred forty-four million, one hundred forty-two thousand, one hundred".