1201311021300 has 288 divisors, whose sum is σ = 3834578571264. Its totient is φ = 288562176000.

The previous prime is 1201311021277. The next prime is 1201311021301. The reversal of 1201311021300 is 31201131021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1201311021300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201311021301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30193420 + ... + 30233180.

It is an arithmetic number, because the mean of its divisors is an integer number (13314508928).

Almost surely, 2^{1201311021300} is an apocalyptic number.

1201311021300 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 1201311021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917289285632).

1201311021300 is an abundant number, since it is smaller than the sum of its proper divisors (2633267549964).

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

1201311021300 is a wasteful number, since it uses less digits than its factorization.

1201311021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39979 (or 39972 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1201311021300 its reverse (31201131021), we get a palindrome (1232512152321).

The spelling of 1201311021300 in words is "one trillion, two hundred one billion, three hundred eleven million, twenty-one thousand, three hundred".