100331010213 has 24 divisors (see below), whose sum is σ = 155932492320. Its totient is φ = 57215198880.

The previous prime is 100331010211. The next prime is 100331010229. The reversal of 100331010213 is 312010133001.

It is not a de Polignac number, because 100331010213 - 2¹ = 100331010211 is a prime.

It is a super-2 number, since 2×100331010213² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100331010192 and 100331010201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100331010211) 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 23 ways as a sum of consecutive naturals, for example, 622858 + ... + 767211.

It is an arithmetic number, because the mean of its divisors is an integer number (6497187180).

Almost surely, 2^100331010213 is an apocalyptic number.

It is an amenable number.

100331010213 is a deficient number, since it is larger than the sum of its proper divisors (55601482107).

100331010213 is a wasteful number, since it uses less digits than its factorization.

100331010213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390577 (or 1390570 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 100331010213 its reverse (312010133001), we get a palindrome (412341143214).

The spelling of 100331010213 in words is "one hundred billion, three hundred thirty-one million, ten thousand, two hundred thirteen".