83100033140513 has 2 divisors, whose sum is σ = 83100033140514. Its totient is φ = 83100033140512.

The previous prime is 83100033140461. The next prime is 83100033140539. The reversal of 83100033140513 is 31504133000138.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54751830704704 + 28348202435809 = 7399448^2 + 5324303^2 .

It is a cyclic number.

It is not a de Polignac number, because 83100033140513 - 2¹⁶ = 83100033074977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 83100033140513.

It is not a weakly prime, because it can be changed into another prime (83100033140543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41550016570256 + 41550016570257.

It is an arithmetic number, because the mean of its divisors is an integer number (41550016570257).

Almost surely, 2^{83100033140513} is an apocalyptic number.

It is an amenable number.

83100033140513 is a deficient number, since it is larger than the sum of its proper divisors (1).

83100033140513 is an equidigital number, since it uses as much as digits as its factorization.

83100033140513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12960, while the sum is 32.

The spelling of 83100033140513 in words is "eighty-three trillion, one hundred billion, thirty-three million, one hundred forty thousand, five hundred thirteen".