1301101323000 has 512 divisors, whose sum is σ = 4367181312000. Its totient is φ = 321540710400.

The previous prime is 1301101322999. The next prime is 1301101323077. The reversal of 1301101323000 is 3231011031.

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 127 ways as a sum of consecutive naturals, for example, 508837722 + ... + 508840278.

It is an arithmetic number, because the mean of its divisors is an integer number (8529651000).

Almost surely, 2^{1301101323000} is an apocalyptic number.

1301101323000 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 1301101323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183590656000).

1301101323000 is an abundant number, since it is smaller than the sum of its proper divisors (3066079989000).

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

1301101323000 is a wasteful number, since it uses less digits than its factorization.

1301101323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792 (or 2778 counting only the distinct ones).

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

Adding to 1301101323000 its reverse (3231011031), we get a palindrome (1304332334031).

The spelling of 1301101323000 in words is "one trillion, three hundred one billion, one hundred one million, three hundred twenty-three thousand".