1213010000 has 100 divisors (see below), whose sum is σ = 2968365444. Its totient is φ = 480000000.

The previous prime is 1213009997. The next prime is 1213010021. The reversal of 1213010000 is 103121.

It can be written as a sum of positive squares in 10 ways, for example, as 1009205824 + 203804176 = 31768^2 + 14276^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1213010000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1009400 + ... + 1010600.

Almost surely, 2^1213010000 is an apocalyptic number.

1213010000 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 1213010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484182722).

1213010000 is an abundant number, since it is smaller than the sum of its proper divisors (1755355444).

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

1213010000 is a wasteful number, since it uses less digits than its factorization.

1213010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1213010000 is about 34828.2930962745. The cubic root of 1213010000 is about 1066.4851036456.

Adding to 1213010000 its reverse (103121), we get a palindrome (1213113121).

The spelling of 1213010000 in words is "one billion, two hundred thirteen million, ten thousand".