31013150400144 has 240 divisors, whose sum is σ = 95384061886464. Its totient is φ = 9328659398400.

The previous prime is 31013150400079. The next prime is 31013150400173. The reversal of 31013150400144 is 44100405131013.

31013150400144 is a `hidden beast` number, since 3 + 1 + 0 + 13 + 1 + 504 + 0 + 0 + 144 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141178297 + ... + 141397799.

Almost surely, 2^{31013150400144} 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 31013150400144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47692030943232).

31013150400144 is an abundant number, since it is smaller than the sum of its proper divisors (64370911486320).

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

31013150400144 is a wasteful number, since it uses less digits than its factorization.

31013150400144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220186 (or 220177 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 31013150400144 its reverse (44100405131013), we get a palindrome (75113555531157).

The spelling of 31013150400144 in words is "thirty-one trillion, thirteen billion, one hundred fifty million, four hundred thousand, one hundred forty-four".