31031009130 has 256 divisors, whose sum is σ = 86858956800. Its totient is φ = 7021175040.

The previous prime is 31031009129. The next prime is 31031009137. The reversal of 31031009130 is 3190013013.

It is a super-2 number, since 2×31031009130² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 31031009097 and 31031009106.

It is not an unprimeable number, because it can be changed into a prime (31031009137) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70685451 + ... + 70685889.

It is an arithmetic number, because the mean of its divisors is an integer number (339292800).

Almost surely, 2^31031009130 is an apocalyptic number.

31031009130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31031009130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43429478400).

31031009130 is an abundant number, since it is smaller than the sum of its proper divisors (55827947670).

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

31031009130 is a wasteful number, since it uses less digits than its factorization.

31031009130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689.

The product of its (nonzero) digits is 243, while the sum is 21.

The spelling of 31031009130 in words is "thirty-one billion, thirty-one million, nine thousand, one hundred thirty".