1301121330000 has 400 divisors, whose sum is σ = 4428474684480. Its totient is φ = 328167936000.

The previous prime is 1301121329947. The next prime is 1301121330029. The reversal of 1301121330000 is 331211031.

It is a tau number, because it is divible by the number of its divisors (400).

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 79 ways as a sum of consecutive naturals, for example, 440608524 + ... + 440611476.

Almost surely, 2^{1301121330000} is an apocalyptic number.

1301121330000 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 1301121330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2214237342240).

1301121330000 is an abundant number, since it is smaller than the sum of its proper divisors (3127353354480).

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

1301121330000 is a wasteful number, since it uses less digits than its factorization.

1301121330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3776 (or 3755 counting only the distinct ones).

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

Adding to 1301121330000 its reverse (331211031), we get a palindrome (1301452541031).

The spelling of 1301121330000 in words is "one trillion, three hundred one billion, one hundred twenty-one million, three hundred thirty thousand".