3113220214400 has 96 divisors (see below), whose sum is σ = 7691139363180. Its totient is φ = 1245205094400.

The previous prime is 3113220214373. The next prime is 3113220214427. The reversal of 3113220214400 is 44120223113.

It is an interprime number because it is at equal distance from previous prime (3113220214373) and next prime (3113220214427).

It can be written as a sum of positive squares in 6 ways, for example, as 532467927616 + 2580752286784 = 729704^2 + 1606472^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75438572 + ... + 75479828.

Almost surely, 2^{3113220214400} is an apocalyptic number.

It is an amenable number.

3113220214400 is an abundant number, since it is smaller than the sum of its proper divisors (4577919148780).

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

3113220214400 is a wasteful number, since it uses less digits than its factorization.

3113220214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64862 (or 64845 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 3113220214400 its reverse (44120223113), we get a palindrome (3157340437513).

The spelling of 3113220214400 in words is "three trillion, one hundred thirteen billion, two hundred twenty million, two hundred fourteen thousand, four hundred".