31331302113120 has 576 divisors, whose sum is σ = 107645662152000. Its totient is φ = 7654038568960.

The previous prime is 31331302113071. The next prime is 31331302113121. The reversal of 31331302113120 is 2131120313313.

It is a super-3 number, since 3×31331302113120³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31331302113121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2553690346 + ... + 2553702614.

It is an arithmetic number, because the mean of its divisors is an integer number (186884830125).

Almost surely, 2^{31331302113120} is an apocalyptic number.

31331302113120 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 31331302113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53822831076000).

31331302113120 is an abundant number, since it is smaller than the sum of its proper divisors (76314360038880).

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

31331302113120 is a wasteful number, since it uses less digits than its factorization.

31331302113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12811 (or 12786 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 31331302113120 its reverse (2131120313313), we get a palindrome (33462422426433).

The spelling of 31331302113120 in words is "thirty-one trillion, three hundred thirty-one billion, three hundred two million, one hundred thirteen thousand, one hundred twenty".