102031300013220 has 288 divisors, whose sum is σ = 328472164500480. Its totient is φ = 25601314636800.

The previous prime is 102031300013143. The next prime is 102031300013299. The reversal of 102031300013220 is 22310003130201.

102031300013220 is a `hidden beast` number, since 10 + 2 + 0 + 31 + 300 + 0 + 1 + 322 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102031300013193 and 102031300013202.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27160621 + ... + 30688139.

It is an arithmetic number, because the mean of its divisors is an integer number (1140528348960).

Almost surely, 2^{102031300013220} is an apocalyptic number.

102031300013220 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 102031300013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164236082250240).

102031300013220 is an abundant number, since it is smaller than the sum of its proper divisors (226440864487260).

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

102031300013220 is a wasteful number, since it uses less digits than its factorization.

102031300013220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3527715 (or 3527710 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102031300013220 its reverse (22310003130201), we get a palindrome (124341303143421).

The spelling of 102031300013220 in words is "one hundred two trillion, thirty-one billion, three hundred million, thirteen thousand, two hundred twenty".