231413242314132 has 72 divisors (see below), whose sum is σ = 606719243180232. Its totient is φ = 74309844960000.

The previous prime is 231413242314119. The next prime is 231413242314217.

231413242314132 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 1 + 3 + 2 + 4 + 231 + 413 + 2 = 666.

231413242314132 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 209379568762116 + 22033673552016 = 14469954^2 + 4694004^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 859933119 + ... + 860202182.

It is an arithmetic number, because the mean of its divisors is an integer number (8426656155281).

Almost surely, 2^{231413242314132} is an apocalyptic number.

It is an amenable number.

231413242314132 is an abundant number, since it is smaller than the sum of its proper divisors (375306000866100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231413242314132 is a wasteful number, since it uses less digits than its factorization.

231413242314132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720135449 (or 1720135444 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 231413242314132 in words is "two hundred thirty-one trillion, four hundred thirteen billion, two hundred forty-two million, three hundred fourteen thousand, one hundred thirty-two".