2313213210040 has 256 divisors, whose sum is σ = 5555796480000. Its totient is φ = 865440565248.

The previous prime is 2313213210023. The next prime is 2313213210043. The reversal of 2313213210040 is 400123123132.

It is a super-2 number, since 2×2313213210040² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2313213209993 and 2313213210020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313213210043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1684786794 + ... + 1684788166.

It is an arithmetic number, because the mean of its divisors is an integer number (21702330000).

Almost surely, 2^{2313213210040} is an apocalyptic number.

2313213210040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2313213210040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2777898240000).

2313213210040 is an abundant number, since it is smaller than the sum of its proper divisors (3242583269960).

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

2313213210040 is a wasteful number, since it uses less digits than its factorization.

2313213210040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 2313213210040 its reverse (400123123132), we get a palindrome (2713336333172).

The spelling of 2313213210040 in words is "two trillion, three hundred thirteen billion, two hundred thirteen million, two hundred ten thousand, forty".