31013133312000 has 1344 divisors, whose sum is σ = 120830858403840. Its totient is φ = 7042990080000.

The previous prime is 31013133311989. The next prime is 31013133312043. The reversal of 31013133312000 is 21333131013.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26944511425 + ... + 26944512575.

Almost surely, 2^{31013133312000} is an apocalyptic number.

31013133312000 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 31013133312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60415429201920).

31013133312000 is an abundant number, since it is smaller than the sum of its proper divisors (89817725091840).

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

31013133312000 is a wasteful number, since it uses less digits than its factorization.

31013133312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 31013133312000 its reverse (21333131013), we get a palindrome (31034466443013).

The spelling of 31013133312000 in words is "thirty-one trillion, thirteen billion, one hundred thirty-three million, three hundred twelve thousand".