31132313011200 has 264 divisors, whose sum is σ = 103432676313600. Its totient is φ = 8258480537600.

The previous prime is 31132313011153. The next prime is 31132313011277. The reversal of 31132313011200 is 211031323113.

It is a happy number.

It is a super-2 number, since 2×31132313011200² (a number of 28 digits) contains 22 as substring.

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, 13607626 + ... + 15729974.

Almost surely, 2^{31132313011200} is an apocalyptic number.

31132313011200 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 31132313011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51716338156800).

31132313011200 is an abundant number, since it is smaller than the sum of its proper divisors (72300363302400).

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

31132313011200 is a wasteful number, since it uses less digits than its factorization.

31132313011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122573 (or 2122550 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 31132313011200 its reverse (211031323113), we get a palindrome (31343344334313).

The spelling of 31132313011200 in words is "thirty-one trillion, one hundred thirty-two billion, three hundred thirteen million, eleven thousand, two hundred".