31013015541240 has 256 divisors, whose sum is σ = 95607648576000. Its totient is φ = 8045084436480.

The previous prime is 31013015541071. The next prime is 31013015541293. The reversal of 31013015541240 is 4214551031013.

It is a super-2 number, since 2×31013015541240² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 31013015541198 and 31013015541207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 436404831 + ... + 436475889.

It is an arithmetic number, because the mean of its divisors is an integer number (373467377250).

Almost surely, 2^{31013015541240} is an apocalyptic number.

31013015541240 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 31013015541240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47803824288000).

31013015541240 is an abundant number, since it is smaller than the sum of its proper divisors (64594633034760).

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

31013015541240 is a wasteful number, since it uses less digits than its factorization.

31013015541240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71790 (or 71786 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 31013015541240 its reverse (4214551031013), we get a palindrome (35227566572253).

The spelling of 31013015541240 in words is "thirty-one trillion, thirteen billion, fifteen million, five hundred forty-one thousand, two hundred forty".