2132070307313 has 2 divisors, whose sum is σ = 2132070307314. Its totient is φ = 2132070307312.

The previous prime is 2132070307309. The next prime is 2132070307373. The reversal of 2132070307313 is 3137030702312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1258832388529 + 873237918784 = 1121977^2 + 934472^2 .

It is a cyclic number.

It is not a de Polignac number, because 2132070307313 - 2² = 2132070307309 is a prime.

It is a super-3 number, since 3×2132070307313³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2132070307313.

It is not a weakly prime, because it can be changed into another prime (2132070307373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1066035153656 + 1066035153657.

It is an arithmetic number, because the mean of its divisors is an integer number (1066035153657).

Almost surely, 2^{2132070307313} is an apocalyptic number.

It is an amenable number.

2132070307313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2132070307313 is an equidigital number, since it uses as much as digits as its factorization.

2132070307313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15876, while the sum is 32.

The spelling of 2132070307313 in words is "two trillion, one hundred thirty-two billion, seventy million, three hundred seven thousand, three hundred thirteen".