31001023213000 has 128 divisors (see below), whose sum is σ = 74300593910400. Its totient is φ = 12103258464000.

The previous prime is 31001023212997. The next prime is 31001023213007. The reversal of 31001023213000 is 31232010013.

It is a super-2 number, since 2×31001023213000² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31001023213007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5180515 + ... + 9425485.

It is an arithmetic number, because the mean of its divisors is an integer number (580473389925).

Almost surely, 2^{31001023213000} 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 31001023213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37150296955200).

31001023213000 is an abundant number, since it is smaller than the sum of its proper divisors (43299570697400).

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

31001023213000 is a wasteful number, since it uses less digits than its factorization.

31001023213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4245168 (or 4245154 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 31001023213000 its reverse (31232010013), we get a palindrome (31032255223013).

The spelling of 31001023213000 in words is "thirty-one trillion, one billion, twenty-three million, two hundred thirteen thousand".