133301233301000 has 64 divisors (see below), whose sum is σ = 312206155326000. Its totient is φ = 53272413081600.

The previous prime is 133301233300981. The next prime is 133301233301057. The reversal of 133301233301000 is 103332103331.

It can be written as a sum of positive squares in 8 ways, for example, as 56367306724 + 133244865994276 = 237418^2 + 11543174^2 .

It is a super-3 number, since 3×133301233301000³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58990745 + ... + 61208744.

Almost surely, 2^{133301233301000} is an apocalyptic number.

133301233301000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133301233301000 is an abundant number, since it is smaller than the sum of its proper divisors (178904922025000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133301233301000 is a wasteful number, since it uses less digits than its factorization.

133301233301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120200619 (or 120200605 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 133301233301000 its reverse (103332103331), we get a palindrome (133404565404331).

The spelling of 133301233301000 in words is "one hundred thirty-three trillion, three hundred one billion, two hundred thirty-three million, three hundred one thousand".