31030001122000 has 320 divisors, whose sum is σ = 76327255368000. Its totient is φ = 12199425638400.

The previous prime is 31030001121997. The next prime is 31030001122007. The reversal of 31030001122000 is 22110003013.

It can be written as a sum of positive squares in 32 ways, for example, as 18993070474816 + 12036930647184 = 4358104^2 + 3469428^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31030001122007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28389753454 + ... + 28389754546.

It is an arithmetic number, because the mean of its divisors is an integer number (238522673025).

Almost surely, 2^{31030001122000} 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 31030001122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38163627684000).

31030001122000 is an abundant number, since it is smaller than the sum of its proper divisors (45297254246000).

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

31030001122000 is a wasteful number, since it uses less digits than its factorization.

31030001122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011 (or 1995 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 31030001122000 its reverse (22110003013), we get a palindrome (31052111125013).

The spelling of 31030001122000 in words is "thirty-one trillion, thirty billion, one million, one hundred twenty-two thousand".