1213313010000 has 1200 divisors, whose sum is σ = 4948489776384. Its totient is φ = 253822464000.

The previous prime is 1213313009989. The next prime is 1213313010011. The reversal of 1213313010000 is 103133121.

It is an interprime number because it is at equal distance from previous prime (1213313009989) and next prime (1213313010011).

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3306029817 + ... + 3306030183.

Almost surely, 2^{1213313010000} is an apocalyptic number.

1213313010000 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 1213313010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474244888192).

1213313010000 is an abundant number, since it is smaller than the sum of its proper divisors (3735176766384).

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

1213313010000 is a wasteful number, since it uses less digits than its factorization.

1213313010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1213313010000 its reverse (103133121), we get a palindrome (1213416143121).

The spelling of 1213313010000 in words is "one trillion, two hundred thirteen billion, three hundred thirteen million, ten thousand".