31001130000000 has 640 divisors, whose sum is σ = 115326293631120. Its totient is φ = 8266752000000.

The previous prime is 31001129999929. The next prime is 31001130000037. The reversal of 31001130000000 is 3110013.

It can be written as a sum of positive squares in 8 ways, for example, as 23423354293824 + 7577775706176 = 4839768^2 + 2752776^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×31001130000000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 809980864 + ... + 810019136.

Almost surely, 2^{31001130000000} is an apocalyptic number.

31001130000000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31001130000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57663146815560).

31001130000000 is an abundant number, since it is smaller than the sum of its proper divisors (84325163631120).

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

31001130000000 is an frugal number, since it uses more digits than its factorization.

31001130000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38334 (or 38283 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 31001130000000 its reverse (3110013), we get a palindrome (31001133110013).

The spelling of 31001130000000 in words is "thirty-one trillion, one billion, one hundred thirty million", and thus it is an aban number.