122133325001300 has 18 divisors (see below), whose sum is σ = 265029315253038. Its totient is φ = 48853330000480.

The previous prime is 122133325001267. The next prime is 122133325001323. The reversal of 122133325001300 is 3100523331221.

It can be written as a sum of positive squares in 3 ways, for example, as 378960897604 + 121754364103696 = 615598^2 + 11034236^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 122133325001300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 610666624907 + ... + 610666625106.

It is an arithmetic number, because the mean of its divisors is an integer number (14723850847391).

Almost surely, 2^{122133325001300} is an apocalyptic number.

122133325001300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122133325001300 is an abundant number, since it is smaller than the sum of its proper divisors (142895990251738).

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

122133325001300 is a wasteful number, since it uses less digits than its factorization.

122133325001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221333250027 (or 1221333250020 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

Adding to 122133325001300 its reverse (3100523331221), we get a palindrome (125233848332521).

The spelling of 122133325001300 in words is "one hundred twenty-two trillion, one hundred thirty-three billion, three hundred twenty-five million, one thousand, three hundred".