31020032000 has 112 divisors (see below), whose sum is σ = 77423829912. Its totient is φ = 12407603200.

The previous prime is 31020031979. The next prime is 31020032041. The reversal of 31020032000 is 23002013.

It can be written as a sum of positive squares in 4 ways, for example, as 7993790464 + 23026241536 = 89408^2 + 151744^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1008854 + ... + 1039146.

Almost surely, 2^31020032000 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 31020032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38711914956).

31020032000 is an abundant number, since it is smaller than the sum of its proper divisors (46403797912).

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

31020032000 is an frugal number, since it uses more digits than its factorization.

31020032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30334 (or 30300 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 31020032000 its reverse (23002013), we get a palindrome (31043034013).

The spelling of 31020032000 in words is "thirty-one billion, twenty million, thirty-two thousand".