133120330001300 has 36 divisors (see below), whose sum is σ = 288888175403100. Its totient is φ = 53244987429120.

The previous prime is 133120330001293. The next prime is 133120330001333. The reversal of 133120330001300 is 3100033021331.

It can be written as a sum of positive squares in 6 ways, for example, as 787240954756 + 132333089046544 = 887266^2 + 11503612^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37604975 + ... + 40992374.

It is an arithmetic number, because the mean of its divisors is an integer number (8024671538975).

Almost surely, 2^{133120330001300} is an apocalyptic number.

133120330001300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133120330001300 is an abundant number, since it is smaller than the sum of its proper divisors (155767845401800).

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

133120330001300 is a wasteful number, since it uses less digits than its factorization.

133120330001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78614300 (or 78614293 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 133120330001300 its reverse (3100033021331), we get a palindrome (136220363022631).

The spelling of 133120330001300 in words is "one hundred thirty-three trillion, one hundred twenty billion, three hundred thirty million, one thousand, three hundred".