31345113400 has 144 divisors (see below), whose sum is σ = 77790054600. Its totient is φ = 11743610880.

The previous prime is 31345113389. The next prime is 31345113413. The reversal of 31345113400 is 431154313.

It is a super-2 number, since 2×31345113400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13119406 + ... + 13121794.

Almost surely, 2^31345113400 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 31345113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38895027300).

31345113400 is an abundant number, since it is smaller than the sum of its proper divisors (46444941200).

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

31345113400 is a wasteful number, since it uses less digits than its factorization.

31345113400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2666 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 31345113400 its reverse (431154313), we get a palindrome (31776267713).

The spelling of 31345113400 in words is "thirty-one billion, three hundred forty-five million, one hundred thirteen thousand, four hundred".