1013120000100 has 648 divisors, whose sum is σ = 3538721866680. Its totient is φ = 242223022080.

The previous prime is 1013120000083. The next prime is 1013120000117. The reversal of 1013120000100 is 10000213101.

It is an interprime number because it is at equal distance from previous prime (1013120000083) and next prime (1013120000117).

It can be written as a sum of positive squares in 36 ways, for example, as 960149136384 + 52970863716 = 979872^2 + 230154^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 878681124 + ... + 878682276.

It is an arithmetic number, because the mean of its divisors is an integer number (5460990535).

Almost surely, 2^{1013120000100} is an apocalyptic number.

1013120000100 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 1013120000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769360933340).

1013120000100 is an abundant number, since it is smaller than the sum of its proper divisors (2525601866580).

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

1013120000100 is a wasteful number, since it uses less digits than its factorization.

1013120000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1013120000100 its reverse (10000213101), we get a palindrome (1023120213201).

The spelling of 1013120000100 in words is "one trillion, thirteen billion, one hundred twenty million, one hundred", and thus it is an aban number.