133113313332012 has 192 divisors, whose sum is σ = 350832010193280. Its totient is φ = 38996322656256.

The previous prime is 133113313331993. The next prime is 133113313332031. The reversal of 133113313332012 is 210233313311331.

It is an interprime number because it is at equal distance from previous prime (133113313331993) and next prime (133113313332031).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1835174098 + ... + 1835246630.

It is an arithmetic number, because the mean of its divisors is an integer number (1827250053090).

Almost surely, 2^{133113313332012} is an apocalyptic number.

133113313332012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133113313332012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175416005096640).

133113313332012 is an abundant number, since it is smaller than the sum of its proper divisors (217718696861268).

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

133113313332012 is a wasteful number, since it uses less digits than its factorization.

133113313332012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78212 (or 78210 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 30.

Adding to 133113313332012 its reverse (210233313311331), we get a palindrome (343346626643343).

The spelling of 133113313332012 in words is "one hundred thirty-three trillion, one hundred thirteen billion, three hundred thirteen million, three hundred thirty-two thousand, twelve".