31235133153213 has 24 divisors (see below), whose sum is σ = 51358954121280. Its totient is φ = 18107323565760.

The previous prime is 31235133153197. The next prime is 31235133153277.

31235133153213 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 5 + 13 + 315 + 321 + 3 = 666.

31235133153213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31235133153213 - 2⁴ = 31235133153197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31235133153313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6858832408 + ... + 6858836961.

It is an arithmetic number, because the mean of its divisors is an integer number (2139956421720).

Almost surely, 2^{31235133153213} is an apocalyptic number.

31235133153213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31235133153213 is a deficient number, since it is larger than the sum of its proper divisors (20123820968067).

31235133153213 is a wasteful number, since it uses less digits than its factorization.

31235133153213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13717669409 (or 13717669406 counting only the distinct ones).

The product of its digits is 72900, while the sum is 36.

It can be divided in two parts, 3123513 and 3153213, that added together give a palindrome (6276726).

The spelling of 31235133153213 in words is "thirty-one trillion, two hundred thirty-five billion, one hundred thirty-three million, one hundred fifty-three thousand, two hundred thirteen".