100013103131 has 4 divisors (see below), whose sum is σ = 100126626264. Its totient is φ = 99899580000.

The previous prime is 100013103083. The next prime is 100013103133. The reversal of 100013103131 is 131301310001.

It is a happy number.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100013103131 is a prime.

It is a super-2 number, since 2×100013103131² (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 (100013103133) 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, 56760245 + ... + 56762006.

It is an arithmetic number, because the mean of its divisors is an integer number (25031656566).

Almost surely, 2^100013103131 is an apocalyptic number.

100013103131 is a deficient number, since it is larger than the sum of its proper divisors (113523133).

100013103131 is an equidigital number, since it uses as much as digits as its factorization.

100013103131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113523132.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 100013103131 its reverse (131301310001), we get a palindrome (231314413132).

The spelling of 100013103131 in words is "one hundred billion, thirteen million, one hundred three thousand, one hundred thirty-one".