103013000 has 64 divisors (see below), whose sum is σ = 248901120. Its totient is φ = 39864000.

The previous prime is 103012999. The next prime is 103013011. The reversal of 103013000 is 310301.

It is a super-2 number, since 2×103013000² = 21223356338000000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29339 + ... + 32661.

It is an arithmetic number, because the mean of its divisors is an integer number (3889080).

Almost surely, 2^103013000 is an apocalyptic number.

103013000 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 103013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124450560).

103013000 is an abundant number, since it is smaller than the sum of its proper divisors (145888120).

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

103013000 is a wasteful number, since it uses less digits than its factorization.

103013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3375 (or 3361 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 103013000 is about 10149.5320089155. The cubic root of 103013000 is about 468.7745350121.

Adding to 103013000 its reverse (310301), we get a palindrome (103323301).

The spelling of 103013000 in words is "one hundred three million, thirteen thousand".