102031031301313 has 2 divisors, whose sum is σ = 102031031301314. Its totient is φ = 102031031301312.

The previous prime is 102031031301299. The next prime is 102031031301347. The reversal of 102031031301313 is 313103130130201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53027349232144 + 49003682069169 = 7281988^2 + 7000263^2 .

It is a cyclic number.

It is not a de Polignac number, because 102031031301313 - 2⁵ = 102031031301281 is a prime.

It is not a weakly prime, because it can be changed into another prime (102031031301113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51015515650656 + 51015515650657.

It is an arithmetic number, because the mean of its divisors is an integer number (51015515650657).

Almost surely, 2^{102031031301313} is an apocalyptic number.

It is an amenable number.

102031031301313 is a deficient number, since it is larger than the sum of its proper divisors (1).

102031031301313 is an equidigital number, since it uses as much as digits as its factorization.

102031031301313 is an evil number, because the sum of its binary digits is even.

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

Adding to 102031031301313 its reverse (313103130130201), we get a palindrome (415134161431514).

The spelling of 102031031301313 in words is "one hundred two trillion, thirty-one billion, thirty-one million, three hundred one thousand, three hundred thirteen".