102401313689 has 2 divisors, whose sum is σ = 102401313690. Its totient is φ = 102401313688.

The previous prime is 102401313653. The next prime is 102401313691. The reversal of 102401313689 is 986313104201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69968185225 + 32433128464 = 264515^2 + 180092^2 .

It is a cyclic number.

It is not a de Polignac number, because 102401313689 - 2⁸ = 102401313433 is a prime.

Together with 102401313691, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (102401313629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51200656844 + 51200656845.

It is an arithmetic number, because the mean of its divisors is an integer number (51200656845).

Almost surely, 2^102401313689 is an apocalyptic number.

It is an amenable number.

102401313689 is a deficient number, since it is larger than the sum of its proper divisors (1).

102401313689 is an equidigital number, since it uses as much as digits as its factorization.

102401313689 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31104, while the sum is 38.

The spelling of 102401313689 in words is "one hundred two billion, four hundred one million, three hundred thirteen thousand, six hundred eighty-nine".