102033331011013 has 2 divisors, whose sum is σ = 102033331011014. Its totient is φ = 102033331011012.

The previous prime is 102033331010983. The next prime is 102033331011103. The reversal of 102033331011013 is 310110133330201.

Together with next prime (102033331011103) 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., 79908706653889 + 22124624357124 = 8939167^2 + 4703682^2 .

It is a cyclic number.

It is not a de Polignac number, because 102033331011013 - 2²⁵ = 102033297456581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102033331011113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51016665505506 + 51016665505507.

It is an arithmetic number, because the mean of its divisors is an integer number (51016665505507).

Almost surely, 2^{102033331011013} is an apocalyptic number.

It is an amenable number.

102033331011013 is a deficient number, since it is larger than the sum of its proper divisors (1).

102033331011013 is an equidigital number, since it uses as much as digits as its factorization.

102033331011013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 102033331011013 its reverse (310110133330201), we get a palindrome (412143464341214).

The spelling of 102033331011013 in words is "one hundred two trillion, thirty-three billion, three hundred thirty-one million, eleven thousand, thirteen".