1311021301300 has 72 divisors (see below), whose sum is σ = 2915206664832. Its totient is φ = 511459680000.

The previous prime is 1311021301273. The next prime is 1311021301307. The reversal of 1311021301300 is 31031201131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311021301307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13658475 + ... + 13754125.

It is an arithmetic number, because the mean of its divisors is an integer number (40488981456).

Almost surely, 2^{1311021301300} is an apocalyptic number.

1311021301300 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 1311021301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457603332416).

1311021301300 is an abundant number, since it is smaller than the sum of its proper divisors (1604185363532).

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

1311021301300 is a wasteful number, since it uses less digits than its factorization.

1311021301300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99049 (or 99042 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1311021301300 its reverse (31031201131), we get a palindrome (1342052502431).

The spelling of 1311021301300 in words is "one trillion, three hundred eleven billion, twenty-one million, three hundred one thousand, three hundred".