100313311293 has 48 divisors (see below), whose sum is σ = 158710091904. Its totient is φ = 60677527680.

The previous prime is 100313311253. The next prime is 100313311321. The reversal of 100313311293 is 392113313001.

100313311293 is a `hidden beast` number, since 10 + 0 + 31 + 331 + 1 + 293 = 666.

It is not a de Polignac number, because 100313311293 - 2¹⁶ = 100313245757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100313311223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12721330 + ... + 12729212.

It is an arithmetic number, because the mean of its divisors is an integer number (3306460248).

Almost surely, 2^100313311293 is an apocalyptic number.

100313311293 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100313311293 is a deficient number, since it is larger than the sum of its proper divisors (58396780611).

100313311293 is a wasteful number, since it uses less digits than its factorization.

100313311293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9746 (or 9743 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

Adding to 100313311293 its reverse (392113313001), we get a palindrome (492426624294).

The spelling of 100313311293 in words is "one hundred billion, three hundred thirteen million, three hundred eleven thousand, two hundred ninety-three".