10120011131133 has 16 divisors (see below), whose sum is σ = 14993398886400. Its totient is φ = 6746318676000.

The previous prime is 10120011131063. The next prime is 10120011131137. The reversal of 10120011131133 is 33113111002101.

10120011131133 is a `hidden beast` number, since 10 + 1 + 200 + 111 + 311 + 33 = 666.

It is not a de Polignac number, because 10120011131133 - 2²⁸ = 10119742695677 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120011131137) 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, 9350013 + ... + 10376066.

It is an arithmetic number, because the mean of its divisors is an integer number (937087430400).

Almost surely, 2^{10120011131133} is an apocalyptic number.

It is an amenable number.

10120011131133 is a deficient number, since it is larger than the sum of its proper divisors (4873387755267).

10120011131133 is a wasteful number, since it uses less digits than its factorization.

10120011131133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19745089 (or 19745083 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 10120011131133 its reverse (33113111002101), we get a palindrome (43233122133234).

The spelling of 10120011131133 in words is "ten trillion, one hundred twenty billion, eleven million, one hundred thirty-one thousand, one hundred thirty-three".