1010113398000 has 480 divisors, whose sum is σ = 4045896796032. Its totient is φ = 230086656000.

The previous prime is 1010113397999. The next prime is 1010113398023. The reversal of 1010113398000 is 8933110101.

It is a happy number.

It is a congruent number.

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, 36904320 + ... + 36931680.

Almost surely, 2^{1010113398000} is an apocalyptic number.

1010113398000 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 1010113398000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2022948398016).

1010113398000 is an abundant number, since it is smaller than the sum of its proper divisors (3035783398032).

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

1010113398000 is a wasteful number, since it uses less digits than its factorization.

1010113398000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27690 (or 27671 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 1010113398000 in words is "one trillion, ten billion, one hundred thirteen million, three hundred ninety-eight thousand".