10100013000 has 512 divisors, whose sum is σ = 41017466880. Its totient is φ = 2006400000.

The previous prime is 10100012983. The next prime is 10100013013. The reversal of 10100013000 is 31000101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 10100013000.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5312050 + ... + 5313950.

It is an arithmetic number, because the mean of its divisors is an integer number (80112240).

Almost surely, 2^10100013000 is an apocalyptic number.

10100013000 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 10100013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20508733440).

10100013000 is an abundant number, since it is smaller than the sum of its proper divisors (30917453880).

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

10100013000 is a wasteful number, since it uses less digits than its factorization.

10100013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

Adding to 10100013000 its reverse (31000101), we get a palindrome (10131013101).

The spelling of 10100013000 in words is "ten billion, one hundred million, thirteen thousand".