102032022013 has 8 divisors (see below), whose sum is σ = 102372042168. Its totient is φ = 101692091904.

The previous prime is 102032021981. The next prime is 102032022031. The reversal of 102032022013 is 310220230201.

It can be written as a sum of positive squares in 4 ways, for example, as 976062564 + 101055959449 = 31242^2 + 317893^2 .

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 102032022013 - 2⁵ = 102032021981 is a prime.

It is a super-3 number, since 3×102032022013³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102032022083) 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, 2853381 + ... + 2888917.

It is an arithmetic number, because the mean of its divisors is an integer number (12796505271).

Almost surely, 2^102032022013 is an apocalyptic number.

It is an amenable number.

102032022013 is a deficient number, since it is larger than the sum of its proper divisors (340020155).

102032022013 is an equidigital number, since it uses as much as digits as its factorization.

102032022013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45023.

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 102032022013 its reverse (310220230201), we get a palindrome (412252252214).

The spelling of 102032022013 in words is "one hundred two billion, thirty-two million, twenty-two thousand, thirteen".