31114200241113 has 96 divisors (see below), whose sum is σ = 47888055484416. Its totient is φ = 17921606208000.

The previous prime is 31114200241079. The next prime is 31114200241123.

31114200241113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31114200241113 - 2¹² = 31114200237017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31114200241123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1404883506 + ... + 1404905652.

It is an arithmetic number, because the mean of its divisors is an integer number (498833911296).

Almost surely, 2^{31114200241113} is an apocalyptic number.

31114200241113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31114200241113 is a deficient number, since it is larger than the sum of its proper divisors (16773855243303).

31114200241113 is a wasteful number, since it uses less digits than its factorization.

31114200241113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23267 (or 23256 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 31114200 and 241113, that added together give a palindrome (31355313).

The spelling of 31114200241113 in words is "thirty-one trillion, one hundred fourteen billion, two hundred million, two hundred forty-one thousand, one hundred thirteen".