1020013133100 has 288 divisors, whose sum is σ = 3267927505920. Its totient is φ = 244041984000.

The previous prime is 1020013133023. The next prime is 1020013133123. The reversal of 1020013133100 is 13313100201.

It is a super-2 number, since 2×1020013133100² (a number of 25 digits) contains 22 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 1020013133100.

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 95 ways as a sum of consecutive naturals, for example, 43321131 + ... + 43344669.

Almost surely, 2^{1020013133100} is an apocalyptic number.

1020013133100 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 1020013133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633963752960).

1020013133100 is an abundant number, since it is smaller than the sum of its proper divisors (2247914372820).

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

1020013133100 is a wasteful number, since it uses less digits than its factorization.

1020013133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23881 (or 23874 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1020013133100 its reverse (13313100201), we get a palindrome (1033326233301).

The spelling of 1020013133100 in words is "one trillion, twenty billion, thirteen million, one hundred thirty-three thousand, one hundred".