1331011011000 has 768 divisors, whose sum is σ = 4669116641280. Its totient is φ = 315380736000.

The previous prime is 1331011010983. The next prime is 1331011011017. The reversal of 1331011011000 is 1101101331.

It is an interprime number because it is at equal distance from previous prime (1331011010983) and next prime (1331011011017).

It is a super-2 number, since 2×1331011011000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 191 ways as a sum of consecutive naturals, for example, 3626732817 + ... + 3626733183.

It is an arithmetic number, because the mean of its divisors is an integer number (6079578960).

Almost surely, 2^{1331011011000} is an apocalyptic number.

1331011011000 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 1331011011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2334558320640).

1331011011000 is an abundant number, since it is smaller than the sum of its proper divisors (3338105630280).

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

1331011011000 is a wasteful number, since it uses less digits than its factorization.

1331011011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 1331011011000 its reverse (1101101331), we get a palindrome (1332112112331).

It can be divided in two parts, 13 and 31011011000, that added together give a palindrome (31011011013).

The spelling of 1331011011000 in words is "one trillion, three hundred thirty-one billion, eleven million, eleven thousand".