3001101233000 has 128 divisors (see below), whose sum is σ = 7564909191840. Its totient is φ = 1107786240000.

The previous prime is 3001101232973. The next prime is 3001101233003. The reversal of 3001101233000 is 3321011003.

It can be written as a sum of positive squares in 16 ways, for example, as 1362808751236 + 1638292481764 = 1167394^2 + 1279958^2 .

It is a super-2 number, since 2×3001101233000² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3001101233003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48862310 + ... + 48923690.

Almost surely, 2^{3001101233000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3001101233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3782454595920).

3001101233000 is an abundant number, since it is smaller than the sum of its proper divisors (4563807958840).

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

3001101233000 is a wasteful number, since it uses less digits than its factorization.

3001101233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65176 (or 65162 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 3001101233000 its reverse (3321011003), we get a palindrome (3004422244003).

The spelling of 3001101233000 in words is "three trillion, one billion, one hundred one million, two hundred thirty-three thousand".