2113431113031 has 16 divisors (see below), whose sum is σ = 3220487001600. Its totient is φ = 1207667217888.

The previous prime is 2113431113023. The next prime is 2113431113039. The reversal of 2113431113031 is 1303111343112.

It is an interprime number because it is at equal distance from previous prime (2113431113023) and next prime (2113431113039).

It is not a de Polignac number, because 2113431113031 - 2³ = 2113431113023 is a prime.

It is a super-2 number, since 2×2113431113031² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2113431112992 and 2113431113010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113431113039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5527630 + ... + 5897588.

It is an arithmetic number, because the mean of its divisors is an integer number (201280437600).

Almost surely, 2^{2113431113031} is an apocalyptic number.

2113431113031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2113431113031 is a deficient number, since it is larger than the sum of its proper divisors (1107055888569).

2113431113031 is a wasteful number, since it uses less digits than its factorization.

2113431113031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641998.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 2113431113031 its reverse (1303111343112), we get a palindrome (3416542456143).

The spelling of 2113431113031 in words is "two trillion, one hundred thirteen billion, four hundred thirty-one million, one hundred thirteen thousand, thirty-one".