31320340431000 has 256 divisors, whose sum is σ = 101110284288000. Its totient is φ = 8062397683200.

The previous prime is 31320340430987. The next prime is 31320340431013. The reversal of 31320340431000 is 13404302313.

It is an interprime number because it is at equal distance from previous prime (31320340430987) and next prime (31320340431013).

It is a super-2 number, since 2×31320340431000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 445317837 + ... + 445388163.

It is an arithmetic number, because the mean of its divisors is an integer number (394962048000).

Almost surely, 2^{31320340431000} is an apocalyptic number.

31320340431000 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 31320340431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50555142144000).

31320340431000 is an abundant number, since it is smaller than the sum of its proper divisors (69789943857000).

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

31320340431000 is a wasteful number, since it uses less digits than its factorization.

31320340431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75499 (or 75485 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 31320340431000 its reverse (13404302313), we get a palindrome (31333744733313).

The spelling of 31320340431000 in words is "thirty-one trillion, three hundred twenty billion, three hundred forty million, four hundred thirty-one thousand".