1002130333020 has 384 divisors, whose sum is σ = 3272433696000. Its totient is φ = 257438103552.

The previous prime is 1002130333007. The next prime is 1002130333033. The reversal of 1002130333020 is 203330312001.

1002130333020 is a `hidden beast` number, since 10 + 0 + 2 + 1 + 303 + 330 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1002130333007) and next prime (1002130333033).

It is a super-2 number, since 2×1002130333020² (a number of 25 digits) contains 22 as substring.

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 = 1002130332984 and 1002130333002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1051552864 + ... + 1051553816.

It is an arithmetic number, because the mean of its divisors is an integer number (8521962750).

Almost surely, 2^{1002130333020} is an apocalyptic number.

1002130333020 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 1002130333020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636216848000).

1002130333020 is an abundant number, since it is smaller than the sum of its proper divisors (2270303362980).

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

1002130333020 is an equidigital number, since it uses as much as digits as its factorization.

1002130333020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1841 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1002130333020 its reverse (203330312001), we get a palindrome (1205460645021).

The spelling of 1002130333020 in words is "one trillion, two billion, one hundred thirty million, three hundred thirty-three thousand, twenty".