13123554133300 has 72 divisors (see below), whose sum is σ = 30693694462200. Its totient is φ = 4841676664320.

The previous prime is 13123554133297. The next prime is 13123554133301. The reversal of 13123554133300 is 333145532131.

It can be written as a sum of positive squares in 12 ways, for example, as 3171661799056 + 9951892334244 = 1780916^2 + 3154662^2 .

It is a super-3 number, since 3×13123554133300³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123554133301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2509315 + ... + 5704714.

It is an arithmetic number, because the mean of its divisors is an integer number (426301311975).

Almost surely, 2^{13123554133300} is an apocalyptic number.

13123554133300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13123554133300 is an abundant number, since it is smaller than the sum of its proper divisors (17570140328900).

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

13123554133300 is a wasteful number, since it uses less digits than its factorization.

13123554133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8215285 (or 8215278 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 34.

Adding to 13123554133300 its reverse (333145532131), we get a palindrome (13456699665431).

The spelling of 13123554133300 in words is "thirteen trillion, one hundred twenty-three billion, five hundred fifty-four million, one hundred thirty-three thousand, three hundred".