102133233113113 has 2 divisors, whose sum is σ = 102133233113114. Its totient is φ = 102133233113112.

The previous prime is 102133233113071. The next prime is 102133233113213. The reversal of 102133233113113 is 311311332331201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78804449032969 + 23328784080144 = 8877187^2 + 4829988^2 .

It is a cyclic number.

It is not a de Polignac number, because 102133233113113 - 2²¹ = 102133231015961 is a prime.

It is a super-3 number, since 3×102133233113113³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (102133233113213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51066616556556 + 51066616556557.

It is an arithmetic number, because the mean of its divisors is an integer number (51066616556557).

Almost surely, 2^{102133233113113} is an apocalyptic number.

It is an amenable number.

102133233113113 is a deficient number, since it is larger than the sum of its proper divisors (1).

102133233113113 is an equidigital number, since it uses as much as digits as its factorization.

102133233113113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 28.

Adding to 102133233113113 its reverse (311311332331201), we get a palindrome (413444565444314).

The spelling of 102133233113113 in words is "one hundred two trillion, one hundred thirty-three billion, two hundred thirty-three million, one hundred thirteen thousand, one hundred thirteen".