133301003031131 has 16 divisors (see below), whose sum is σ = 144021911828256. Its totient is φ = 122647182863616.

The previous prime is 133301003030999. The next prime is 133301003031187. The reversal of 133301003031131 is 131130300103331.

It is a cyclic number.

It is not a de Polignac number, because 133301003031131 - 2²⁶ = 133300935922267 is a prime.

It is a super-2 number, since 2×133301003031131² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133301003031097 and 133301003031106.

It is not an unprimeable number, because it can be changed into a prime (133301003033131) 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, 659336 + ... + 16341258.

It is an arithmetic number, because the mean of its divisors is an integer number (9001369489266).

Almost surely, 2^{133301003031131} is an apocalyptic number.

133301003031131 is a deficient number, since it is larger than the sum of its proper divisors (10720908797125).

133301003031131 is a wasteful number, since it uses less digits than its factorization.

133301003031131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15684062.

The product of its (nonzero) digits is 729, while the sum is 23.

Adding to 133301003031131 its reverse (131130300103331), we get a palindrome (264431303134462).

The spelling of 133301003031131 in words is "one hundred thirty-three trillion, three hundred one billion, three million, thirty-one thousand, one hundred thirty-one".