31145311354113 has 48 divisors (see below), whose sum is σ = 49315487420160. Its totient is φ = 18784417125600.

The previous prime is 31145311354013. The next prime is 31145311354127.

31145311354113 is a `hidden beast` number, since 3 + 1 + 1 + 4 + 531 + 1 + 3 + 5 + 4 + 113 = 666.

31145311354113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31145311354113 - 2¹² = 31145311350017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31145311354013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201355318 + ... + 201509936.

It is an arithmetic number, because the mean of its divisors is an integer number (1027405987920).

Almost surely, 2^{31145311354113} is an apocalyptic number.

31145311354113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31145311354113 is a deficient number, since it is larger than the sum of its proper divisors (18170176066047).

31145311354113 is a wasteful number, since it uses less digits than its factorization.

31145311354113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164490 (or 164487 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

It can be divided in two parts, 3114531 and 1354113, that added together give a palindrome (4468644).

The spelling of 31145311354113 in words is "thirty-one trillion, one hundred forty-five billion, three hundred eleven million, three hundred fifty-four thousand, one hundred thirteen".