2082101583413 has 2 divisors, whose sum is σ = 2082101583414. Its totient is φ = 2082101583412.

The previous prime is 2082101583407. The next prime is 2082101583431. The reversal of 2082101583413 is 3143851012802.

Together with next prime (2082101583431) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1993227241489 + 88874341924 = 1411817^2 + 298118^2 .

It is a cyclic number.

It is not a de Polignac number, because 2082101583413 - 2⁶ = 2082101583349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2082101583403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1041050791706 + 1041050791707.

It is an arithmetic number, because the mean of its divisors is an integer number (1041050791707).

Almost surely, 2^{2082101583413} is an apocalyptic number.

It is an amenable number.

2082101583413 is a deficient number, since it is larger than the sum of its proper divisors (1).

2082101583413 is an equidigital number, since it uses as much as digits as its factorization.

2082101583413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 46080, while the sum is 38.

The spelling of 2082101583413 in words is "two trillion, eighty-two billion, one hundred one million, five hundred eighty-three thousand, four hundred thirteen".