2314130314132 has 288 divisors, whose sum is σ = 5786159339520. Its totient is φ = 797569597440.

The previous prime is 2314130314127. The next prime is 2314130314141.

2314130314132 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2314130314132² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2314130314132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30846844 + ... + 30921772.

It is an arithmetic number, because the mean of its divisors is an integer number (20090831040).

Almost surely, 2^{2314130314132} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2314130314132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2893079669760).

2314130314132 is an abundant number, since it is smaller than the sum of its proper divisors (3472029025388).

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

2314130314132 is a wasteful number, since it uses less digits than its factorization.

2314130314132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75031 (or 75022 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

It can be divided in two parts, 2314130 and 314132, that added together give a palindrome (2628262).

The spelling of 2314130314132 in words is "two trillion, three hundred fourteen billion, one hundred thirty million, three hundred fourteen thousand, one hundred thirty-two".