100031313313 has 2 divisors, whose sum is σ = 100031313314. Its totient is φ = 100031313312.

The previous prime is 100031313287. The next prime is 100031313383. The reversal of 100031313313 is 313313130001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100012797504 + 18515809 = 316248^2 + 4303^2 .

It is a cyclic number.

It is not a de Polignac number, because 100031313313 - 2⁵ = 100031313281 is a prime.

It is a super-3 number, since 3×100031313313³ (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (100031313383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50015656656 + 50015656657.

It is an arithmetic number, because the mean of its divisors is an integer number (50015656657).

Almost surely, 2^100031313313 is an apocalyptic number.

It is an amenable number.

100031313313 is a deficient number, since it is larger than the sum of its proper divisors (1).

100031313313 is an equidigital number, since it uses as much as digits as its factorization.

100031313313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 100031313313 its reverse (313313130001), we get a palindrome (413344443314).

The spelling of 100031313313 in words is "one hundred billion, thirty-one million, three hundred thirteen thousand, three hundred thirteen".