31313422011000 has 256 divisors, whose sum is σ = 100558081503360. Its totient is φ = 8106772377600.

The previous prime is 31313422010993. The next prime is 31313422011023. The reversal of 31313422011000 is 11022431313.

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, 50418354 + ... + 51035646.

Almost surely, 2^{31313422011000} is an apocalyptic number.

31313422011000 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 31313422011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50279040751680).

31313422011000 is an abundant number, since it is smaller than the sum of its proper divisors (69244659492360).

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

31313422011000 is a wasteful number, since it uses less digits than its factorization.

31313422011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617811 (or 617797 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 31313422011000 its reverse (11022431313), we get a palindrome (31324444442313).

The spelling of 31313422011000 in words is "thirty-one trillion, three hundred thirteen billion, four hundred twenty-two million, eleven thousand".