2131735768119 has 64 divisors (see below), whose sum is σ = 3185892864000. Its totient is φ = 1408739078880.

The previous prime is 2131735768117. The next prime is 2131735768181. The reversal of 2131735768119 is 9118675371312.

2131735768119 is a `hidden beast` number, since 21 + 31 + 7 + 3 + 576 + 8 + 1 + 19 = 666.

It is not a de Polignac number, because 2131735768119 - 2¹ = 2131735768117 is a prime.

It is a super-2 number, since 2×2131735768119² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131735768117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1461093012 + ... + 1461094470.

It is an arithmetic number, because the mean of its divisors is an integer number (49779576000).

Almost surely, 2^{2131735768119} is an apocalyptic number.

2131735768119 is a deficient number, since it is larger than the sum of its proper divisors (1054157095881).

2131735768119 is a wasteful number, since it uses less digits than its factorization.

2131735768119 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2625 (or 2619 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 54.

The spelling of 2131735768119 in words is "two trillion, one hundred thirty-one billion, seven hundred thirty-five million, seven hundred sixty-eight thousand, one hundred nineteen".