2300133020032 has 64 divisors (see below), whose sum is σ = 4627612173600. Its totient is φ = 1138697109504.

The previous prime is 2300133020023. The next prime is 2300133020051. The reversal of 2300133020032 is 2300203310032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×2300133020032³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2300133019991 and 2300133020009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96191694 + ... + 96215602.

Almost surely, 2^{2300133020032} 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 2300133020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2313806086800).

2300133020032 is an abundant number, since it is smaller than the sum of its proper divisors (2327479153568).

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

2300133020032 is a wasteful number, since it uses less digits than its factorization.

2300133020032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31323 (or 31311 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 2300133020032 its reverse (2300203310032), we get a palindrome (4600336330064).

The spelling of 2300133020032 in words is "two trillion, three hundred billion, one hundred thirty-three million, twenty thousand, thirty-two".