10120123213133 has 16 divisors (see below), whose sum is σ = 10532395906560. Its totient is φ = 9715937075376.

The previous prime is 10120123213127. The next prime is 10120123213153. The reversal of 10120123213133 is 33131232102101.

It is a cyclic number.

It is not a de Polignac number, because 10120123213133 - 2²² = 10120119018829 is a prime.

It is a super-2 number, since 2×10120123213133² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10120123213099 and 10120123213108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120123213103) 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, 19036766 + ... + 19561152.

It is an arithmetic number, because the mean of its divisors is an integer number (658274744160).

Almost surely, 2^{10120123213133} is an apocalyptic number.

It is an amenable number.

10120123213133 is a deficient number, since it is larger than the sum of its proper divisors (412272693427).

10120123213133 is an equidigital number, since it uses as much as digits as its factorization.

10120123213133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532096.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 10120123213133 its reverse (33131232102101), we get a palindrome (43251355315234).

The spelling of 10120123213133 in words is "ten trillion, one hundred twenty billion, one hundred twenty-three million, two hundred thirteen thousand, one hundred thirty-three".