2131037330688 has 720 divisors, whose sum is σ = 7420471864960. Its totient is φ = 595703808000.

The previous prime is 2131037330687. The next prime is 2131037330743. The reversal of 2131037330688 is 8860337301312.

2131037330688 is a `hidden beast` number, since 21 + 310 + 3 + 7 + 3 + 306 + 8 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131037330687) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2027627763 + ... + 2027628813.

Almost surely, 2^{2131037330688} is an apocalyptic number.

2131037330688 is a gapful number since it is divisible by the number (28) 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 2131037330688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3710235932480).

2131037330688 is an abundant number, since it is smaller than the sum of its proper divisors (5289434534272).

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

2131037330688 is a wasteful number, since it uses less digits than its factorization.

2131037330688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 2131037330688 in words is "two trillion, one hundred thirty-one billion, thirty-seven million, three hundred thirty thousand, six hundred eighty-eight".