1013419900 has 72 divisors (see below), whose sum is σ = 2243467520. Its totient is φ = 397275840.

The previous prime is 1013419871. The next prime is 1013419907. The reversal of 1013419900 is 99143101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013419907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1287307 + ... + 1288093.

Almost surely, 2^1013419900 is an apocalyptic number.

1013419900 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 1013419900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121733760).

1013419900 is an abundant number, since it is smaller than the sum of its proper divisors (1230047620).

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

1013419900 is a wasteful number, since it uses less digits than its factorization.

1013419900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 28.

The square root of 1013419900 is about 31834.2567056308. The cubic root of 1013419900 is about 1004.4534374530.

The spelling of 1013419900 in words is "one billion, thirteen million, four hundred nineteen thousand, nine hundred".