1013012000 has 576 divisors, whose sum is σ = 3513549312. Its totient is φ = 278784000.

The previous prime is 1013011897. The next prime is 1013012027. The reversal of 1013012000 is 2103101.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 44043989 + ... + 44044011.

It is an arithmetic number, because the mean of its divisors is an integer number (6099912).

Almost surely, 2^1013012000 is an apocalyptic number.

1013012000 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 1013012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756774656).

1013012000 is an abundant number, since it is smaller than the sum of its proper divisors (2500537312).

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

1013012000 is a wasteful number, since it uses less digits than its factorization.

1013012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1013012000 is about 31827.8494403879. The cubic root of 1013012000 is about 1004.3186556975.

Adding to 1013012000 its reverse (2103101), we get a palindrome (1015115101).

It can be divided in two parts, 101301 and 2000, that added together give a palindrome (103301).

The spelling of 1013012000 in words is "one billion, thirteen million, twelve thousand".