1133300001300 has 144 divisors (see below), whose sum is σ = 3424487818752. Its totient is φ = 288828003200.

The previous prime is 1133300001287. The next prime is 1133300001349. The reversal of 1133300001300 is 31000033311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1133300001300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8121115 + ... + 8259485.

It is an arithmetic number, because the mean of its divisors is an integer number (23781165408).

Almost surely, 2^{1133300001300} is an apocalyptic number.

1133300001300 is a gapful number since it is divisible by the number (10) 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 1133300001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712243909376).

1133300001300 is an abundant number, since it is smaller than the sum of its proper divisors (2291187817452).

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

1133300001300 is a wasteful number, since it uses less digits than its factorization.

1133300001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139598 (or 139591 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 1133300001300 its reverse (31000033311), we get a palindrome (1164300034611).

The spelling of 1133300001300 in words is "one trillion, one hundred thirty-three billion, three hundred million, one thousand, three hundred".