1301322312000 has 336 divisors, whose sum is σ = 4900054411200. Its totient is φ = 328754764800.

The previous prime is 1301322311999. The next prime is 1301322312013. The reversal of 1301322312000 is 2132231031.

1301322312000 is a `hidden beast` number, since 1 + 30 + 1 + 322 + 312 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 892371 + ... + 1843629.

Almost surely, 2^{1301322312000} is an apocalyptic number.

1301322312000 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 1301322312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2450027205600).

1301322312000 is an abundant number, since it is smaller than the sum of its proper divisors (3598732099200).

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

1301322312000 is a wasteful number, since it uses less digits than its factorization.

1301322312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951311 (or 951288 counting only the distinct ones).

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

Adding to 1301322312000 its reverse (2132231031), we get a palindrome (1303454543031).

The spelling of 1301322312000 in words is "one trillion, three hundred one billion, three hundred twenty-two million, three hundred twelve thousand".