102312001101133 has 16 divisors (see below), whose sum is σ = 109364811597360. Its totient is φ = 95374786507776.

The previous prime is 102312001101119. The next prime is 102312001101179. The reversal of 102312001101133 is 331101100213201.

It can be written as a sum of positive squares in 8 ways, for example, as 846228888649 + 101465772212484 = 919907^2 + 10073022^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102312001101133 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102312001101133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102312001101833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5261310 + ... + 15241567.

It is an arithmetic number, because the mean of its divisors is an integer number (6835300724835).

Almost surely, 2^{102312001101133} is an apocalyptic number.

It is an amenable number.

102312001101133 is a deficient number, since it is larger than the sum of its proper divisors (7052810496227).

102312001101133 is a wasteful number, since it uses less digits than its factorization.

102312001101133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20505696.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 102312001101133 its reverse (331101100213201), we get a palindrome (433413101314334).

The spelling of 102312001101133 in words is "one hundred two trillion, three hundred twelve billion, one million, one hundred one thousand, one hundred thirty-three".