2112031131000 has 256 divisors, whose sum is σ = 7576007362560. Its totient is φ = 479858457600.

The previous prime is 2112031130999. The next prime is 2112031131013. The reversal of 2112031131000 is 1311302112.

It is a happy number.

It is a super-2 number, since 2×2112031131000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 3205884 + ... + 3808116.

It is an arithmetic number, because the mean of its divisors is an integer number (29593778760).

Almost surely, 2^{2112031131000} is an apocalyptic number.

2112031131000 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 2112031131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3788003681280).

2112031131000 is an abundant number, since it is smaller than the sum of its proper divisors (5463976231560).

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

2112031131000 is a wasteful number, since it uses less digits than its factorization.

2112031131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602431 (or 602417 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 2112031131000 its reverse (1311302112), we get a palindrome (2113342433112).

The spelling of 2112031131000 in words is "two trillion, one hundred twelve billion, thirty-one million, one hundred thirty-one thousand".