120033133010301 has 16 divisors (see below), whose sum is σ = 183172331176448. Its totient is φ = 68491099249200.

The previous prime is 120033133010281. The next prime is 120033133010309. The reversal of 120033133010301 is 103010331330021.

It is not a de Polignac number, because 120033133010301 - 2¹¹ = 120033133008253 is a prime.

It is a super-2 number, since 2×120033133010301² (a number of 29 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120033133010309) 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, 4135921435 + ... + 4135950456.

It is an arithmetic number, because the mean of its divisors is an integer number (11448270698528).

Almost surely, 2^{120033133010301} is an apocalyptic number.

It is an amenable number.

120033133010301 is a deficient number, since it is larger than the sum of its proper divisors (63139198166147).

120033133010301 is an equidigital number, since it uses as much as digits as its factorization.

120033133010301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8271872592.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 120033133010301 its reverse (103010331330021), we get a palindrome (223043464340322).

The spelling of 120033133010301 in words is "one hundred twenty trillion, thirty-three billion, one hundred thirty-three million, ten thousand, three hundred one".