2131121312320 has 1008 divisors, whose sum is σ = 7045989959808. Its totient is φ = 606784389120.

The previous prime is 2131121312263. The next prime is 2131121312371. The reversal of 2131121312320 is 232131211312.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2131121312291 and 2131121312300.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3293850237 + ... + 3293850883.

Almost surely, 2^{2131121312320} is an apocalyptic number.

2131121312320 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 2131121312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3522994979904).

2131121312320 is an abundant number, since it is smaller than the sum of its proper divisors (4914868647488).

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

2131121312320 is a wasteful number, since it uses less digits than its factorization.

2131121312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 2131121312320 its reverse (232131211312), we get a palindrome (2363252523632).

The spelling of 2131121312320 in words is "two trillion, one hundred thirty-one billion, one hundred twenty-one million, three hundred twelve thousand, three hundred twenty".