13083000 has 192 divisors, whose sum is σ = 48016800. Its totient is φ = 2956800.

The previous prime is 13082989. The next prime is 13083011. The reversal of 13083000 is 38031.

13083000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13082989) and next prime (13083011).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146956 + ... + 147044.

Almost surely, 2^13083000 is an apocalyptic number.

13083000 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 13083000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24008400).

13083000 is an abundant number, since it is smaller than the sum of its proper divisors (34933800).

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

13083000 is a wasteful number, since it uses less digits than its factorization.

13083000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 13083000 is about 3617.0429911739. The cubic root of 13083000 is about 235.6328198077.

The spelling of 13083000 in words is "thirteen million, eighty-three thousand".