102133110331313 has 8 divisors (see below), whose sum is σ = 108183365245800. Its totient is φ = 96087569294080.

The previous prime is 102133110331303. The next prime is 102133110331387. The reversal of 102133110331313 is 313133011331201.

It can be written as a sum of positive squares in 4 ways, for example, as 47520300889009 + 54612809442304 = 6893497^2 + 7390048^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102133110331313 - 2²² = 102133106137009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102133110331303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1178424698 + ... + 1178511363.

It is an arithmetic number, because the mean of its divisors is an integer number (13522920655725).

Almost surely, 2^{102133110331313} is an apocalyptic number.

It is an amenable number.

102133110331313 is a deficient number, since it is larger than the sum of its proper divisors (6050254914487).

102133110331313 is a wasteful number, since it uses less digits than its factorization.

102133110331313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2356938627.

The product of its (nonzero) digits is 1458, while the sum is 26.

Adding to 102133110331313 its reverse (313133011331201), we get a palindrome (415266121662514).

The spelling of 102133110331313 in words is "one hundred two trillion, one hundred thirty-three billion, one hundred ten million, three hundred thirty-one thousand, three hundred thirteen".