120133012131431 has 16 divisors (see below), whose sum is σ = 135001351994880. Its totient is φ = 106068747961440.

The previous prime is 120133012131427. The next prime is 120133012131449. The reversal of 120133012131431 is 134131210331021.

It is a cyclic number.

It is not a de Polignac number, because 120133012131431 - 2² = 120133012131427 is a prime.

It is a super-2 number, since 2×120133012131431² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 120133012131431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120133012131031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13568726 + ... + 20600396.

It is an arithmetic number, because the mean of its divisors is an integer number (8437584499680).

Almost surely, 2^{120133012131431} is an apocalyptic number.

120133012131431 is a deficient number, since it is larger than the sum of its proper divisors (14868339863449).

120133012131431 is a wasteful number, since it uses less digits than its factorization.

120133012131431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7088846.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 120133012131431 its reverse (134131210331021), we get a palindrome (254264222462452).

The spelling of 120133012131431 in words is "one hundred twenty trillion, one hundred thirty-three billion, twelve million, one hundred thirty-one thousand, four hundred thirty-one".