2013011000 has 256 divisors, whose sum is σ = 6327659520. Its totient is φ = 578880000.

The previous prime is 2013010997. The next prime is 2013011003. The reversal of 2013011000 is 1103102.

It is an interprime number because it is at equal distance from previous prime (2013010997) and next prime (2013011003).

It is a super-2 number, since 2×2013011000² = 8104426572242000000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013011003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 999995 + ... + 1002005.

It is an arithmetic number, because the mean of its divisors is an integer number (24717420).

Almost surely, 2^2013011000 is an apocalyptic number.

2013011000 is a gapful number since it is divisible by the number (20) 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 2013011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3163829760).

2013011000 is an abundant number, since it is smaller than the sum of its proper divisors (4314648520).

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

2013011000 is a wasteful number, since it uses less digits than its factorization.

2013011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063 (or 2049 counting only the distinct ones).

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

The square root of 2013011000 is about 44866.5911341613. The cubic root of 2013011000 is about 1262.6472853688.

Adding to 2013011000 its reverse (1103102), we get a palindrome (2014114102).

The spelling of 2013011000 in words is "two billion, thirteen million, eleven thousand".