1133303321400 has 96 divisors (see below), whose sum is σ = 3540903843840. Its totient is φ = 299834559360.

The previous prime is 1133303321383. The next prime is 1133303321417. The reversal of 1133303321400 is 41233033311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1133303321383) and next prime (1133303321417).

It is a super-3 number, since 3×1133303321400³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7360174 + ... + 7512573.

It is an arithmetic number, because the mean of its divisors is an integer number (36884415040).

Almost surely, 2^{1133303321400} is an apocalyptic number.

1133303321400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1133303321400 is an abundant number, since it is smaller than the sum of its proper divisors (2407600522440).

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

1133303321400 is a wasteful number, since it uses less digits than its factorization.

1133303321400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14872893 (or 14872884 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 1133303321400 its reverse (41233033311), we get a palindrome (1174536354711).

The spelling of 1133303321400 in words is "one trillion, one hundred thirty-three billion, three hundred three million, three hundred twenty-one thousand, four hundred".