133212331010113 has 8 divisors (see below), whose sum is σ = 134532375575400. Its totient is φ = 131894066683008.

The previous prime is 133212331010107. The next prime is 133212331010119. The reversal of 133212331010113 is 311010133212331.

It is an interprime number because it is at equal distance from previous prime (133212331010107) and next prime (133212331010119).

It can be written as a sum of positive squares in 4 ways, for example, as 54442144194064 + 78770186816049 = 7378492^2 + 8875257^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 133212331010113 - 2⁵ = 133212331010081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133212331010119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 444909148 + ... + 445208461.

It is an arithmetic number, because the mean of its divisors is an integer number (16816546946925).

Almost surely, 2^{133212331010113} is an apocalyptic number.

It is an amenable number.

133212331010113 is a deficient number, since it is larger than the sum of its proper divisors (1320044565287).

133212331010113 is a wasteful number, since it uses less digits than its factorization.

133212331010113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890119091.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 133212331010113 its reverse (311010133212331), we get a palindrome (444222464222444).

The spelling of 133212331010113 in words is "one hundred thirty-three trillion, two hundred twelve billion, three hundred thirty-one million, ten thousand, one hundred thirteen".