31213111240400 has 120 divisors (see below), whose sum is σ = 75716727574488. Its totient is φ = 12364738560000.

The previous prime is 31213111240331. The next prime is 31213111240447. The reversal of 31213111240400 is 404211131213.

It can be written as a sum of positive squares in 12 ways, for example, as 22938007524496 + 8275103715904 = 4789364^2 + 2876648^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16553960 + ... + 18342840.

Almost surely, 2^{31213111240400} 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 31213111240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37858363787244).

31213111240400 is an abundant number, since it is smaller than the sum of its proper divisors (44503616334088).

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

31213111240400 is a wasteful number, since it uses less digits than its factorization.

31213111240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789321 (or 1789310 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 31213111240400 its reverse (404211131213), we get a palindrome (31617322371613).

The spelling of 31213111240400 in words is "thirty-one trillion, two hundred thirteen billion, one hundred eleven million, two hundred forty thousand, four hundred".