1371305311200 has 1440 divisors, whose sum is σ = 5676956651520. Its totient is φ = 319127040000.

The previous prime is 1371305311153. The next prime is 1371305311249. The reversal of 1371305311200 is 21135031731.

It is a happy number.

1371305311200 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 3 + 0 + 531 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 5060167065 + ... + 5060167335.

It is an arithmetic number, because the mean of its divisors is an integer number (3942331008).

Almost surely, 2^{1371305311200} is an apocalyptic number.

1371305311200 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 1371305311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2838478325760).

1371305311200 is an abundant number, since it is smaller than the sum of its proper divisors (4305651340320).

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

1371305311200 is a wasteful number, since it uses less digits than its factorization.

1371305311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

It can be divided in two parts, 137130531 and 1200, that added together give a palindrome (137131731).

The spelling of 1371305311200 in words is "one trillion, three hundred seventy-one billion, three hundred five million, three hundred eleven thousand, two hundred".