102013333020020 has 96 divisors (see below), whose sum is σ = 215853449011200. Its totient is φ = 40496701474944.

The previous prime is 102013333019993. The next prime is 102013333020107. The reversal of 102013333020020 is 20020333310201.

102013333020020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102013333020020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102013333019974 and 102013333020001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4578067799 + ... + 4578090081.

It is an arithmetic number, because the mean of its divisors is an integer number (2248473427200).

Almost surely, 2^{102013333020020} is an apocalyptic number.

102013333020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102013333020020 is an abundant number, since it is smaller than the sum of its proper divisors (113840115991180).

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

102013333020020 is a wasteful number, since it uses less digits than its factorization.

102013333020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24957 (or 24955 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 102013333020020 its reverse (20020333310201), we get a palindrome (122033666330221).

The spelling of 102013333020020 in words is "one hundred two trillion, thirteen billion, three hundred thirty-three million, twenty thousand, twenty".