2313313131300 has 288 divisors, whose sum is σ = 7178640537600. Its totient is φ = 573460093440.

The previous prime is 2313313131257. The next prime is 2313313131329. The reversal of 2313313131300 is 31313133132.

It is a super-2 number, since 2×2313313131300² (a number of 26 digits) contains 22 as substring.

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, 73383142 + ... + 73414658.

It is an arithmetic number, because the mean of its divisors is an integer number (24925835200).

Almost surely, 2^{2313313131300} is an apocalyptic number.

2313313131300 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 2313313131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3589320268800).

2313313131300 is an abundant number, since it is smaller than the sum of its proper divisors (4865327406300).

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

2313313131300 is a wasteful number, since it uses less digits than its factorization.

2313313131300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31795 (or 31788 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 2313313131300 its reverse (31313133132), we get a palindrome (2344626264432).

The spelling of 2313313131300 in words is "two trillion, three hundred thirteen billion, three hundred thirteen million, one hundred thirty-one thousand, three hundred".