10001211332133 has 64 divisors (see below), whose sum is σ = 16467104563200. Its totient is φ = 5378351328000.

The previous prime is 10001211332129. The next prime is 10001211332159. The reversal of 10001211332133 is 33123311210001.

It is a happy number.

It is not a de Polignac number, because 10001211332133 - 2² = 10001211332129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001211332933) 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, 385375308 + ... + 385401258.

It is an arithmetic number, because the mean of its divisors is an integer number (257298508800).

Almost surely, 2^{10001211332133} is an apocalyptic number.

It is an amenable number.

10001211332133 is a deficient number, since it is larger than the sum of its proper divisors (6465893231067).

10001211332133 is a wasteful number, since it uses less digits than its factorization.

10001211332133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48023 (or 48009 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 10001211332133 its reverse (33123311210001), we get a palindrome (43124522542134).

The spelling of 10001211332133 in words is "ten trillion, one billion, two hundred eleven million, three hundred thirty-two thousand, one hundred thirty-three".