133020400252653 has 40 divisors (see below), whose sum is σ = 198786677846328. Its totient is φ = 88645825046016.

The previous prime is 133020400252643. The next prime is 133020400252687. The reversal of 133020400252653 is 356252004020331.

133020400252653 is a `hidden beast` number, since 1 + 3 + 302 + 0 + 40 + 0 + 252 + 65 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10818704169 + 133009581548484 = 104013^2 + 11532978^2 .

It is not a de Polignac number, because 133020400252653 - 2⁶ = 133020400252589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133020400252643) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2431212025 + ... + 2431266737.

Almost surely, 2^{133020400252653} is an apocalyptic number.

It is an amenable number.

133020400252653 is a deficient number, since it is larger than the sum of its proper divisors (65766277593675).

133020400252653 is an equidigital number, since it uses as much as digits as its factorization.

133020400252653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65835 (or 65826 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 133020400252653 its reverse (356252004020331), we get a palindrome (489272404272984).

The spelling of 133020400252653 in words is "one hundred thirty-three trillion, twenty billion, four hundred million, two hundred fifty-two thousand, six hundred fifty-three".