10113101031 has 16 divisors (see below), whose sum is σ = 14987514240. Its totient is φ = 6013506720.

The previous prime is 10113101027. The next prime is 10113101057. The reversal of 10113101031 is 13010131101.

It is not a de Polignac number, because 10113101031 - 2² = 10113101027 is a prime.

It is a super-2 number, since 2×10113101031² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10113100998 and 10113101016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10113101231) 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 15 ways as a sum of consecutive naturals, for example, 2889361 + ... + 2892858.

It is an arithmetic number, because the mean of its divisors is an integer number (936719640).

Almost surely, 2^10113101031 is an apocalyptic number.

10113101031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10113101031 is a deficient number, since it is larger than the sum of its proper divisors (4874413209).

10113101031 is a wasteful number, since it uses less digits than its factorization.

10113101031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5782286.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 10113101031 its reverse (13010131101), we get a palindrome (23123232132).

The spelling of 10113101031 in words is "ten billion, one hundred thirteen million, one hundred one thousand, thirty-one".