1133400300032 has 480 divisors, whose sum is σ = 3106272685824. Its totient is φ = 406115942400.

The previous prime is 1133400300029. The next prime is 1133400300061. The reversal of 1133400300032 is 2300030043311.

It is a super-2 number, since 2×1133400300032² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1133400299977 and 1133400300013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1546248338 + ... + 1546249070.

Almost surely, 2^{1133400300032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1133400300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553136342912).

1133400300032 is an abundant number, since it is smaller than the sum of its proper divisors (1972872385792).

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

1133400300032 is a wasteful number, since it uses less digits than its factorization.

1133400300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 1133400300032 its reverse (2300030043311), we get a palindrome (3433430343343).

The spelling of 1133400300032 in words is "one trillion, one hundred thirty-three billion, four hundred million, three hundred thousand, thirty-two".