102033013313 has 16 divisors (see below), whose sum is σ = 129366097920. Its totient is φ = 78158677200.

The previous prime is 102033013307. The next prime is 102033013331. The reversal of 102033013313 is 313310330201.

It is a cyclic number.

It is not a de Polignac number, because 102033013313 - 2¹⁸ = 102032751169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102033013393) 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, 11225153 + ... + 11234238.

It is an arithmetic number, because the mean of its divisors is an integer number (8085381120).

Almost surely, 2^102033013313 is an apocalyptic number.

It is an amenable number.

102033013313 is a deficient number, since it is larger than the sum of its proper divisors (27333084607).

102033013313 is a wasteful number, since it uses less digits than its factorization.

102033013313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22459468.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 102033013313 its reverse (313310330201), we get a palindrome (415343343514).

The spelling of 102033013313 in words is "one hundred two billion, thirty-three million, thirteen thousand, three hundred thirteen".