100013313131 has 4 divisors (see below), whose sum is σ = 100145431872. Its totient is φ = 99881194392.

The previous prime is 100013313119. The next prime is 100013313143. The reversal of 100013313131 is 131313310001.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (100013313119) and next prime (100013313143).

It is a cyclic number.

It is not a de Polignac number, because 100013313131 - 2¹⁰ = 100013312107 is a prime.

It is a super-2 number, since 2×100013313131² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100013313161) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66058235 + ... + 66059748.

It is an arithmetic number, because the mean of its divisors is an integer number (25036357968).

Almost surely, 2^100013313131 is an apocalyptic number.

100013313131 is a deficient number, since it is larger than the sum of its proper divisors (132118741).

100013313131 is an equidigital number, since it uses as much as digits as its factorization.

100013313131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132118740.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 100013313131 its reverse (131313310001), we get a palindrome (231326623132).

The spelling of 100013313131 in words is "one hundred billion, thirteen million, three hundred thirteen thousand, one hundred thirty-one".