1013712000 has 384 divisors, whose sum is σ = 3918170880. Its totient is φ = 231168000.

The previous prime is 1013711999. The next prime is 1013712001. The reversal of 1013712000 is 2173101.

It is an interprime number because it is at equal distance from previous prime (1013711999) and next prime (1013712001).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1013712000² = 2055224037888000000, 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 not an unprimeable number, because it can be changed into a prime (1013712001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2351785 + ... + 2352215.

It is an arithmetic number, because the mean of its divisors is an integer number (10203570).

Almost surely, 2^1013712000 is an apocalyptic number.

1013712000 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 1013712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959085440).

1013712000 is an abundant number, since it is smaller than the sum of its proper divisors (2904458880).

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

1013712000 is an equidigital number, since it uses as much as digits as its factorization.

1013712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 1013712000 is about 31838.8442001276. The cubic root of 1013712000 is about 1004.5499333755.

Adding to 1013712000 its reverse (2173101), we get a palindrome (1015885101).

The spelling of 1013712000 in words is "one billion, thirteen million, seven hundred twelve thousand".