1013002120020 has 192 divisors, whose sum is σ = 3109448466432. Its totient is φ = 244372800000.

The previous prime is 1013002120019. The next prime is 1013002120037. The reversal of 1013002120020 is 200212003101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1013002119978 and 1013002120005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 243683782 + ... + 243687938.

It is an arithmetic number, because the mean of its divisors is an integer number (16195044096).

Almost surely, 2^{1013002120020} is an apocalyptic number.

1013002120020 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 1013002120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554724233216).

1013002120020 is an abundant number, since it is smaller than the sum of its proper divisors (2096446346412).

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

1013002120020 is a wasteful number, since it uses less digits than its factorization.

1013002120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5902 (or 5900 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1013002120020 its reverse (200212003101), we get a palindrome (1213214123121).

The spelling of 1013002120020 in words is "one trillion, thirteen billion, two million, one hundred twenty thousand, twenty".