100213031 has 2 divisors, whose sum is σ = 100213032. Its totient is φ = 100213030.

The previous prime is 100213019. The next prime is 100213037. The reversal of 100213031 is 130312001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100213031 - 2⁶ = 100212967 is a prime.

It is a super-2 number, since 2×100213031² = 20085303164413922, which contains 22 as substring.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100213037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50106515 + 50106516.

It is an arithmetic number, because the mean of its divisors is an integer number (50106516).

Almost surely, 2^100213031 is an apocalyptic number.

100213031 is a deficient number, since it is larger than the sum of its proper divisors (1).

100213031 is an equidigital number, since it uses as much as digits as its factorization.

100213031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 100213031 is about 10010.6458832585. The cubic root of 100213031 is about 464.4882503576.

Adding to 100213031 its reverse (130312001), we get a palindrome (230525032).

The spelling of 100213031 in words is "one hundred million, two hundred thirteen thousand, thirty-one".