133311313213221 has 64 divisors (see below), whose sum is σ = 219826461818880. Its totient is φ = 70650505117440.

The previous prime is 133311313213219. The next prime is 133311313213249. The reversal of 133311313213221 is 122312313113331.

It is not a de Polignac number, because 133311313213221 - 2¹ = 133311313213219 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133311313213021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146369980 + ... + 147277946.

It is an arithmetic number, because the mean of its divisors is an integer number (3434788465920).

Almost surely, 2^{133311313213221} is an apocalyptic number.

133311313213221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133311313213221 is a deficient number, since it is larger than the sum of its proper divisors (86515148605659).

133311313213221 is a wasteful number, since it uses less digits than its factorization.

133311313213221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926026.

The product of its digits is 5832, while the sum is 30.

Adding to 133311313213221 its reverse (122312313113331), we get a palindrome (255623626326552).

The spelling of 133311313213221 in words is "one hundred thirty-three trillion, three hundred eleven billion, three hundred thirteen million, two hundred thirteen thousand, two hundred twenty-one".