31133031000 has 128 divisors (see below), whose sum is σ = 98365363200. Its totient is φ = 8196988800.

The previous prime is 31133030947. The next prime is 31133031023. The reversal of 31133031000 is 13033113.

It is a super-2 number, since 2×31133031000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171319 + ... + 302681.

It is an arithmetic number, because the mean of its divisors is an integer number (768479400).

Almost surely, 2^31133031000 is an apocalyptic number.

31133031000 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 31133031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49182681600).

31133031000 is an abundant number, since it is smaller than the sum of its proper divisors (67232332200).

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

31133031000 is a wasteful number, since it uses less digits than its factorization.

31133031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131466 (or 131452 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 31133031000 its reverse (13033113), we get a palindrome (31146064113).

The spelling of 31133031000 in words is "thirty-one billion, one hundred thirty-three million, thirty-one thousand".