1133301101220 has 576 divisors, whose sum is σ = 3986425497600. Its totient is φ = 268581795840.

The previous prime is 1133301101173. The next prime is 1133301101249. The reversal of 1133301101220 is 221011033311.

1133301101220 is a `hidden beast` number, since 1 + 1 + 3 + 330 + 110 + 1 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1133301101193 and 1133301101202.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 563550015 + ... + 563552025.

It is an arithmetic number, because the mean of its divisors is an integer number (6920877600).

Almost surely, 2^{1133301101220} is an apocalyptic number.

1133301101220 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 1133301101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1993212748800).

1133301101220 is an abundant number, since it is smaller than the sum of its proper divisors (2853124396380).

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

1133301101220 is a wasteful number, since it uses less digits than its factorization.

1133301101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1133301101220 its reverse (221011033311), we get a palindrome (1354312134531).

The spelling of 1133301101220 in words is "one trillion, one hundred thirty-three billion, three hundred one million, one hundred one thousand, two hundred twenty".