10001301012133 has 16 divisors (see below), whose sum is σ = 10255231324800. Its totient is φ = 9748344602304.

The previous prime is 10001301012121. The next prime is 10001301012137. The reversal of 10001301012133 is 33121010310001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10001301012133 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001301012137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345465543 + ... + 345494491.

It is an arithmetic number, because the mean of its divisors is an integer number (640951957800).

Almost surely, 2^{10001301012133} is an apocalyptic number.

It is an amenable number.

10001301012133 is a deficient number, since it is larger than the sum of its proper divisors (253930312667).

10001301012133 is a wasteful number, since it uses less digits than its factorization.

10001301012133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45468.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10001301012133 its reverse (33121010310001), we get a palindrome (43122311322134).

The spelling of 10001301012133 in words is "ten trillion, one billion, three hundred one million, twelve thousand, one hundred thirty-three".