102021132013 has 8 divisors (see below), whose sum is σ = 104517657720. Its totient is φ = 99524997120.

The previous prime is 102021131999. The next prime is 102021132023. The reversal of 102021132013 is 310231120201.

It can be written as a sum of positive squares in 4 ways, for example, as 13123535364 + 88897596649 = 114558^2 + 298157^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102021132013 - 2¹⁷ = 102021000941 is a prime.

It is a super-2 number, since 2×102021132013² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102021132023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 470743 + ... + 652411.

It is an arithmetic number, because the mean of its divisors is an integer number (13064707215).

Almost surely, 2^102021132013 is an apocalyptic number.

It is an amenable number.

102021132013 is a deficient number, since it is larger than the sum of its proper divisors (2496525707).

102021132013 is a wasteful number, since it uses less digits than its factorization.

102021132013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195407.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 102021132013 its reverse (310231120201), we get a palindrome (412252252214).

The spelling of 102021132013 in words is "one hundred two billion, twenty-one million, one hundred thirty-two thousand, thirteen".