3131310400000 has 120 divisors (see below), whose sum is σ = 7820134674660. Its totient is φ = 1252523520000.

The previous prime is 3131310399991. The next prime is 3131310400003. The reversal of 3131310400000 is 40131313.

It can be written as a sum of positive squares in 6 ways, for example, as 557519075584 + 2573791324416 = 746672^2 + 1604304^2 .

It is a super-2 number, since 2×3131310400000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (3131310400003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 621466 + ... + 2578534.

Almost surely, 2^{3131310400000} 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 3131310400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3910067337330).

3131310400000 is an abundant number, since it is smaller than the sum of its proper divisors (4688824274660).

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

3131310400000 is an frugal number, since it uses more digits than its factorization.

3131310400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957112 (or 1957076 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 3131310400000 its reverse (40131313), we get a palindrome (3131350531313).

The spelling of 3131310400000 in words is "three trillion, one hundred thirty-one billion, three hundred ten million, four hundred thousand".