1013190000 has 100 divisors (see below), whose sum is σ = 3270809256. Its totient is φ = 270176000.

The previous prime is 1013189963. The next prime is 1013190097. The reversal of 1013190000 is 913101.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×1013190000² = 2053107952200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13114 + ... + 46886.

Almost surely, 2^1013190000 is an apocalyptic number.

1013190000 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 1013190000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635404628).

1013190000 is an abundant number, since it is smaller than the sum of its proper divisors (2257619256).

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

1013190000 is an equidigital number, since it uses as much as digits as its factorization.

1013190000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33804 (or 33783 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

The square root of 1013190000 is about 31830.6456107946. The cubic root of 1013190000 is about 1004.3774764061.

The spelling of 1013190000 in words is "one billion, thirteen million, one hundred ninety thousand".