10133032002000 has 640 divisors, whose sum is σ = 35568999438336. Its totient is φ = 2471731200000.

The previous prime is 10133032001969. The next prime is 10133032002013. The reversal of 10133032002000 is 20023033101.

10133032002000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10133032002000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 1133317530 + ... + 1133326470.

Almost surely, 2^{10133032002000} is an apocalyptic number.

10133032002000 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 10133032002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17784499719168).

10133032002000 is an abundant number, since it is smaller than the sum of its proper divisors (25435967436336).

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

10133032002000 is a wasteful number, since it uses less digits than its factorization.

10133032002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9296 (or 9280 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10133032002000 its reverse (20023033101), we get a palindrome (10153055035101).

The spelling of 10133032002000 in words is "ten trillion, one hundred thirty-three billion, thirty-two million, two thousand".