1133211321000 has 384 divisors, whose sum is σ = 4291404399360. Its totient is φ = 267292224000.

The previous prime is 1133211320981. The next prime is 1133211321017. The reversal of 1133211321000 is 1231123311.

1133211321000 is a `hidden beast` number, since 1 + 1 + 332 + 11 + 321 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×1133211321000³ (a number of 37 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3508317 + ... + 3817683.

It is an arithmetic number, because the mean of its divisors is an integer number (11175532290).

Almost surely, 2^{1133211321000} is an apocalyptic number.

1133211321000 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 1133211321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145702199680).

1133211321000 is an abundant number, since it is smaller than the sum of its proper divisors (3158193078360).

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

1133211321000 is a wasteful number, since it uses less digits than its factorization.

1133211321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309442 (or 309425 counting only the distinct ones).

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

Adding to 1133211321000 its reverse (1231123311), we get a palindrome (1134442444311).

The spelling of 1133211321000 in words is "one trillion, one hundred thirty-three billion, two hundred eleven million, three hundred twenty-one thousand".