3100013030400 has 1584 divisors, whose sum is σ = 12341255442432. Its totient is φ = 681571123200.

The previous prime is 3100013030381. The next prime is 3100013030501. The reversal of 3100013030400 is 40303100013.

It is a super-2 number, since 2×3100013030400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3100013030400.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8094028609 + ... + 8094028991.

Almost surely, 2^{3100013030400} is an apocalyptic number.

3100013030400 is a gapful number since it is divisible by the number (30) 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 3100013030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6170627721216).

3100013030400 is an abundant number, since it is smaller than the sum of its proper divisors (9241242412032).

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

3100013030400 is a wasteful number, since it uses less digits than its factorization.

3100013030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 3100013030400 its reverse (40303100013), we get a palindrome (3140316130413).

The spelling of 3100013030400 in words is "three trillion, one hundred billion, thirteen million, thirty thousand, four hundred".