10033013121300 has 216 divisors, whose sum is σ = 35034821716440. Its totient is φ = 2384503833600.

The previous prime is 10033013121289. The next prime is 10033013121317. The reversal of 10033013121300 is 312131033001.

It is a happy number.

10033013121300 is a `hidden beast` number, since 1 + 0 + 0 + 330 + 1 + 31 + 2 + 1 + 300 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2382688611216 + 7650324510084 = 1543596^2 + 2765922^2 .

It is a super-2 number, since 2×10033013121300² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14445571 + ... + 15124170.

Almost surely, 2^{10033013121300} is an apocalyptic number.

10033013121300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10033013121300 is an abundant number, since it is smaller than the sum of its proper divisors (25001808595140).

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

10033013121300 is a wasteful number, since it uses less digits than its factorization.

10033013121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29569803 (or 29569793 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10033013121300 its reverse (312131033001), we get a palindrome (10345144154301).

The spelling of 10033013121300 in words is "ten trillion, thirty-three billion, thirteen million, one hundred twenty-one thousand, three hundred".