31014211241013 has 256 divisors, whose sum is σ = 57543242932224. Its totient is φ = 14342895452160.

The previous prime is 31014211241011. The next prime is 31014211241093.

31014211241013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31014211241013 - 2¹ = 31014211241011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31014211241011) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2012203495 + ... + 2012218907.

It is an arithmetic number, because the mean of its divisors is an integer number (224778292704).

Almost surely, 2^{31014211241013} is an apocalyptic number.

31014211241013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31014211241013 is a deficient number, since it is larger than the sum of its proper divisors (26529031691211).

31014211241013 is a wasteful number, since it uses less digits than its factorization.

31014211241013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15724.

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

It can be divided in two parts, 3101421 and 1241013, that added together give a palindrome (4342434).

The spelling of 31014211241013 in words is "thirty-one trillion, fourteen billion, two hundred eleven million, two hundred forty-one thousand, thirteen".