102013021320 has 256 divisors, whose sum is σ = 371656304640. Its totient is φ = 21867245568.

The previous prime is 102013021289. The next prime is 102013021333. The reversal of 102013021320 is 23120310201.

It is a super-3 number, since 3×102013021320³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102013021320.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4028619 + ... + 4053861.

It is an arithmetic number, because the mean of its divisors is an integer number (1451782440).

Almost surely, 2^102013021320 is an apocalyptic number.

102013021320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102013021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185828152320).

102013021320 is an abundant number, since it is smaller than the sum of its proper divisors (269643283320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102013021320 is a wasteful number, since it uses less digits than its factorization.

102013021320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25564 (or 25560 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 102013021320 its reverse (23120310201), we get a palindrome (125133331521).

The spelling of 102013021320 in words is "one hundred two billion, thirteen million, twenty-one thousand, three hundred twenty".