31322121013000 has 128 divisors (see below), whose sum is σ = 74747230272000. Its totient is φ = 12281595955200.

The previous prime is 31322121012961. The next prime is 31322121013013. The reversal of 31322121013000 is 31012122313.

It is a super-2 number, since 2×31322121013000² (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 31 ways as a sum of consecutive naturals, for example, 20075041 + ... + 21578959.

It is an arithmetic number, because the mean of its divisors is an integer number (583962736500).

Almost surely, 2^{31322121013000} 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 31322121013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37373615136000).

31322121013000 is an abundant number, since it is smaller than the sum of its proper divisors (43425109259000).

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

31322121013000 is a wasteful number, since it uses less digits than its factorization.

31322121013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504352 (or 1504338 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 31322121013000 its reverse (31012122313), we get a palindrome (31353133135313).

The spelling of 31322121013000 in words is "thirty-one trillion, three hundred twenty-two billion, one hundred twenty-one million, thirteen thousand".