102133010113113 has 16 divisors (see below), whose sum is σ = 155977871011200. Its totient is φ = 58231738500096.

The previous prime is 102133010113051. The next prime is 102133010113159. The reversal of 102133010113113 is 311311010331201.

It is not a de Polignac number, because 102133010113113 - 2³⁴ = 102115830243929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 102133010113113.

It is not an unprimeable number, because it can be changed into a prime (102133010113163) 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, 5415888870 + ... + 5415907727.

It is an arithmetic number, because the mean of its divisors is an integer number (9748616938200).

Almost surely, 2^{102133010113113} is an apocalyptic number.

It is an amenable number.

102133010113113 is a deficient number, since it is larger than the sum of its proper divisors (53844860898087).

102133010113113 is a wasteful number, since it uses less digits than its factorization.

102133010113113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10831797056.

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 102133010113113 its reverse (311311010331201), we get a palindrome (413444020444314).

The spelling of 102133010113113 in words is "one hundred two trillion, one hundred thirty-three billion, ten million, one hundred thirteen thousand, one hundred thirteen".