133023002002642 has 64 divisors (see below), whose sum is σ = 214399494397440. Its totient is φ = 61706489644800.

The previous prime is 133023002002621. The next prime is 133023002002663. The reversal of 133023002002642 is 246200200320331.

It is an interprime number because it is at equal distance from previous prime (133023002002621) and next prime (133023002002663).

It is a super-4 number, since 4×133023002002642⁴ (a number of 58 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133023002002642.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2617455592 + ... + 2617506412.

It is an arithmetic number, because the mean of its divisors is an integer number (3349992099960).

Almost surely, 2^{133023002002642} is an apocalyptic number.

133023002002642 is a deficient number, since it is larger than the sum of its proper divisors (81376492394798).

133023002002642 is a wasteful number, since it uses less digits than its factorization.

133023002002642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53299.

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 133023002002642 its reverse (246200200320331), we get a palindrome (379223202322973).

The spelling of 133023002002642 in words is "one hundred thirty-three trillion, twenty-three billion, two million, two thousand, six hundred forty-two".