1133133311310 has 768 divisors, whose sum is σ = 3827426383872. Its totient is φ = 208735211520.

The previous prime is 1133133311309. The next prime is 1133133311333. The reversal of 1133133311310 is 131133313311.

It is a super-2 number, since 2×1133133311310² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 1014442872 + ... + 1014443988.

It is an arithmetic number, because the mean of its divisors is an integer number (4983628104).

Almost surely, 2^{1133133311310} is an apocalyptic number.

1133133311310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1133133311310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913713191936).

1133133311310 is an abundant number, since it is smaller than the sum of its proper divisors (2694293072562).

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

1133133311310 is a wasteful number, since it uses less digits than its factorization.

1133133311310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 24.

Adding to 1133133311310 its reverse (131133313311), we get a palindrome (1264266624621).

The spelling of 1133133311310 in words is "one trillion, one hundred thirty-three billion, one hundred thirty-three million, three hundred eleven thousand, three hundred ten".