130113102031 has 24 divisors (see below), whose sum is σ = 145355602896. Its totient is φ = 115504763520.

The previous prime is 130113102029. The next prime is 130113102059. The reversal of 130113102031 is 130201311031.

It is not a de Polignac number, because 130113102031 - 2¹ = 130113102029 is a prime.

It is a super-2 number, since 2×130113102031² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130113101996 and 130113102014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130113102331) 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, 11098785 + ... + 11110501.

It is an arithmetic number, because the mean of its divisors is an integer number (6056483454).

Almost surely, 2^130113102031 is an apocalyptic number.

130113102031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130113102031 is a deficient number, since it is larger than the sum of its proper divisors (15242500865).

130113102031 is a wasteful number, since it uses less digits than its factorization.

130113102031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12279 (or 12232 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 130113102031 its reverse (130201311031), we get a palindrome (260314413062).

The spelling of 130113102031 in words is "one hundred thirty billion, one hundred thirteen million, one hundred two thousand, thirty-one".