1314211052000 has 384 divisors, whose sum is σ = 4043736732672. Its totient is φ = 407798016000.

The previous prime is 1314211051999. The next prime is 1314211052029. The reversal of 1314211052000 is 2501124131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69906602 + ... + 69925398.

It is an arithmetic number, because the mean of its divisors is an integer number (10530564408).

Almost surely, 2^{1314211052000} is an apocalyptic number.

1314211052000 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 1314211052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2021868366336).

1314211052000 is an abundant number, since it is smaller than the sum of its proper divisors (2729525680672).

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

1314211052000 is a wasteful number, since it uses less digits than its factorization.

1314211052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19067 (or 19049 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 1314211052000 its reverse (2501124131), we get a palindrome (1316712176131).

The spelling of 1314211052000 in words is "one trillion, three hundred fourteen billion, two hundred eleven million, fifty-two thousand".