1013364000 has 384 divisors, whose sum is σ = 4028693760. Its totient is φ = 245376000.

The previous prime is 1013363987. The next prime is 1013364013. The reversal of 1013364000 is 4633101.

1013364000 is a `hidden beast` number, since 10 + 13 + 3 + 640 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1013363987) and next prime (1013364013).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1187574 + ... + 1188426.

It is an arithmetic number, because the mean of its divisors is an integer number (10491390).

Almost surely, 2^1013364000 is an apocalyptic number.

1013364000 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 1013364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2014346880).

1013364000 is an abundant number, since it is smaller than the sum of its proper divisors (3015329760).

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

1013364000 is a wasteful number, since it uses less digits than its factorization.

1013364000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1013364000 is about 31833.3787085191. The cubic root of 1013364000 is about 1004.4349686428.

Adding to 1013364000 its reverse (4633101), we get a palindrome (1017997101).

The spelling of 1013364000 in words is "one billion, thirteen million, three hundred sixty-four thousand".