31011312240 has 160 divisors (see below), whose sum is σ = 106873516800. Its totient is φ = 8265288960.

The previous prime is 31011312221. The next prime is 31011312253. The reversal of 31011312240 is 4221311013.

31011312240 is a `hidden beast` number, since 310 + 1 + 1 + 312 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 7279231 + ... + 7283489.

It is an arithmetic number, because the mean of its divisors is an integer number (667959480).

Almost surely, 2^31011312240 is an apocalyptic number.

31011312240 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 31011312240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53436758400).

31011312240 is an abundant number, since it is smaller than the sum of its proper divisors (75862204560).

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

31011312240 is a wasteful number, since it uses less digits than its factorization.

31011312240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7652 (or 7640 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31011312240 its reverse (4221311013), we get a palindrome (35232623253).

The spelling of 31011312240 in words is "thirty-one billion, eleven million, three hundred twelve thousand, two hundred forty".