2231312013000 has 768 divisors, whose sum is σ = 8716979980800. Its totient is φ = 504264499200.

The previous prime is 2231312012989. The next prime is 2231312013053. The reversal of 2231312013000 is 3102131322.

2231312013000 is a `hidden beast` number, since 22 + 31 + 312 + 0 + 1 + 300 + 0 = 666.

It is a super-3 number, since 3×2231312013000³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3616388692 + ... + 3616389308.

It is an arithmetic number, because the mean of its divisors is an integer number (11350234350).

Almost surely, 2^{2231312013000} is an apocalyptic number.

2231312013000 is a gapful number since it is divisible by the number (20) 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 2231312013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4358489990400).

2231312013000 is an abundant number, since it is smaller than the sum of its proper divisors (6485667967800).

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

2231312013000 is a wasteful number, since it uses less digits than its factorization.

2231312013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2231312013000 its reverse (3102131322), we get a palindrome (2234414144322).

The spelling of 2231312013000 in words is "two trillion, two hundred thirty-one billion, three hundred twelve million, thirteen thousand".