100031133213 has 48 divisors (see below), whose sum is σ = 159493276800. Its totient is φ = 59907133440.

The previous prime is 100031133203. The next prime is 100031133229. The reversal of 100031133213 is 312331130001.

It is a happy number.

100031133213 is a `hidden beast` number, since 10 + 0 + 0 + 311 + 332 + 13 = 666.

It is not a de Polignac number, because 100031133213 - 2¹⁸ = 100030871069 is a prime.

It is a super-2 number, since 2×100031133213² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100031133203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23320573 + ... + 23324861.

It is an arithmetic number, because the mean of its divisors is an integer number (3322776600).

Almost surely, 2^100031133213 is an apocalyptic number.

It is an amenable number.

100031133213 is a deficient number, since it is larger than the sum of its proper divisors (59462143587).

100031133213 is a wasteful number, since it uses less digits than its factorization.

100031133213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7042 (or 7039 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 100031133213 its reverse (312331130001), we get a palindrome (412362263214).

The spelling of 100031133213 in words is "one hundred billion, thirty-one million, one hundred thirty-three thousand, two hundred thirteen".