31041211214013 has 160 divisors (see below), whose sum is σ = 56547876000000. Its totient is φ = 14748130805760.

The previous prime is 31041211214011. The next prime is 31041211214047.

31041211214013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31041211214013 - 2¹ = 31041211214011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31041211214011) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 435636613 + ... + 435707861.

It is an arithmetic number, because the mean of its divisors is an integer number (353424225000).

Almost surely, 2^{31041211214013} is an apocalyptic number.

31041211214013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31041211214013 is a deficient number, since it is larger than the sum of its proper divisors (25506664785987).

31041211214013 is a wasteful number, since it uses less digits than its factorization.

31041211214013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71425 (or 71392 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, 3104121 and 1214013, that added together give a palindrome (4318134).

The spelling of 31041211214013 in words is "thirty-one trillion, forty-one billion, two hundred eleven million, two hundred fourteen thousand, thirteen".