1013322213000 has 192 divisors, whose sum is σ = 3626501926320. Its totient is φ = 254323968000.

The previous prime is 1013322212993. The next prime is 1013322213011. The reversal of 1013322213000 is 3122233101.

1013322213000 is a `hidden beast` number, since 10 + 1 + 332 + 2 + 21 + 300 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2368379556 + 1010953833444 = 48666^2 + 1005462^2 .

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 47 ways as a sum of consecutive naturals, for example, 3158511 + ... + 3464510.

Almost surely, 2^{1013322213000} is an apocalyptic number.

1013322213000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013322213000 is an abundant number, since it is smaller than the sum of its proper divisors (2613179713320).

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

1013322213000 is a wasteful number, since it uses less digits than its factorization.

1013322213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6623065 (or 6623048 counting only the distinct ones).

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

Adding to 1013322213000 its reverse (3122233101), we get a palindrome (1016444446101).

The spelling of 1013322213000 in words is "one trillion, thirteen billion, three hundred twenty-two million, two hundred thirteen thousand".