100313213231 has 16 divisors (see below), whose sum is σ = 126304109568. Its totient is φ = 77392212000.

The previous prime is 100313213213. The next prime is 100313213279. The reversal of 100313213231 is 132312313001.

It is a cyclic number.

It is not a de Polignac number, because 100313213231 - 2¹⁴ = 100313196847 is a prime.

It is a super-2 number, since 2×100313213231² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100313213731) 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 15 ways as a sum of consecutive naturals, for example, 6441575 + ... + 6457128.

It is an arithmetic number, because the mean of its divisors is an integer number (7894006848).

Almost surely, 2^100313213231 is an apocalyptic number.

100313213231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100313213231 is a deficient number, since it is larger than the sum of its proper divisors (25990896337).

100313213231 is a wasteful number, since it uses less digits than its factorization.

100313213231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12898822.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 100313213231 its reverse (132312313001), we get a palindrome (232625526232).

The spelling of 100313213231 in words is "one hundred billion, three hundred thirteen million, two hundred thirteen thousand, two hundred thirty-one".