2301011213000 has 64 divisors (see below), whose sum is σ = 5386732107120. Its totient is φ = 920000064000.

The previous prime is 2301011212999. The next prime is 2301011213087. The reversal of 2301011213000 is 3121101032.

It can be written as a sum of positive squares in 8 ways, for example, as 550115923204 + 1750895289796 = 741698^2 + 1323214^2 .

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, 1776614 + ... + 2785386.

Almost surely, 2^{2301011213000} is an apocalyptic number.

2301011213000 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 2301011213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2693366053560).

2301011213000 is an abundant number, since it is smaller than the sum of its proper divisors (3085720894120).

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

2301011213000 is a wasteful number, since it uses less digits than its factorization.

2301011213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011075 (or 1011061 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 2301011213000 its reverse (3121101032), we get a palindrome (2304132314032).

The spelling of 2301011213000 in words is "two trillion, three hundred one billion, eleven million, two hundred thirteen thousand".