102133021013 has 32 divisors (see below), whose sum is σ = 110183092992. Its totient is φ = 94431744000.

The previous prime is 102133020989. The next prime is 102133021051. The reversal of 102133021013 is 310120331201.

It is not a de Polignac number, because 102133021013 - 2⁸ = 102133020757 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102133020982 and 102133021000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102133021093) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61636481 + ... + 61638137.

It is an arithmetic number, because the mean of its divisors is an integer number (3443221656).

Almost surely, 2^102133021013 is an apocalyptic number.

It is an amenable number.

102133021013 is a deficient number, since it is larger than the sum of its proper divisors (8050071979).

102133021013 is a wasteful number, since it uses less digits than its factorization.

102133021013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 102133021013 its reverse (310120331201), we get a palindrome (412253352214).

The spelling of 102133021013 in words is "one hundred two billion, one hundred thirty-three million, twenty-one thousand, thirteen".