100313133331 has 2 divisors, whose sum is σ = 100313133332. Its totient is φ = 100313133330.

The previous prime is 100313133329. The next prime is 100313133377. The reversal of 100313133331 is 133331313001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100313133331 - 2¹ = 100313133329 is a prime.

It is a super-2 number, since 2×100313133331² (a number of 23 digits) contains 22 as substring.

Together with 100313133329, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (100313133031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50156566665 + 50156566666.

It is an arithmetic number, because the mean of its divisors is an integer number (50156566666).

Almost surely, 2^100313133331 is an apocalyptic number.

100313133331 is a deficient number, since it is larger than the sum of its proper divisors (1).

100313133331 is an equidigital number, since it uses as much as digits as its factorization.

100313133331 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 729, while the sum is 22.

Adding to 100313133331 its reverse (133331313001), we get a palindrome (233644446332).

The spelling of 100313133331 in words is "one hundred billion, three hundred thirteen million, one hundred thirty-three thousand, three hundred thirty-one".