1013223213000 has 192 divisors, whose sum is σ = 3458605428720. Its totient is φ = 267517440000.

The previous prime is 1013223212971. The next prime is 1013223213001. The reversal of 1013223213000 is 3123223101.

1013223213000 is a `hidden beast` number, since 1 + 0 + 132 + 232 + 1 + 300 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 418606412004 + 594616800996 = 646998^2 + 771114^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1013223213001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 351672 + ... + 1466328.

Almost surely, 2^{1013223213000} is an apocalyptic number.

1013223213000 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 1013223213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729302714360).

1013223213000 is an abundant number, since it is smaller than the sum of its proper divisors (2445382215720).

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

1013223213000 is a wasteful number, since it uses less digits than its factorization.

1013223213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114785 (or 1114768 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1013223213000 its reverse (3123223101), we get a palindrome (1016346436101).

The spelling of 1013223213000 in words is "one trillion, thirteen billion, two hundred twenty-three million, two hundred thirteen thousand".