31001000000 has 196 divisors, whose sum is σ = 79622027700. Its totient is φ = 11961600000.

The previous prime is 31000999987. The next prime is 31001000033. The reversal of 31001000000 is 10013.

It can be written as a sum of positive squares in 14 ways, for example, as 25620484096 + 5380515904 = 160064^2 + 73352^2 .

It is a super-2 number, since 2×31001000000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 28999466 + ... + 29000534.

Almost surely, 2^31001000000 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 31001000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39811013850).

31001000000 is an abundant number, since it is smaller than the sum of its proper divisors (48621027700).

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

31001000000 is an frugal number, since it uses more digits than its factorization.

31001000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 5.

Adding to 31001000000 its reverse (10013), we get a palindrome (31001010013).

The spelling of 31001000000 in words is "thirty-one billion, one million", and thus it is an aban number and an uban number.