1311323133120 has 1344 divisors, whose sum is σ = 5774751138816. Its totient is φ = 244638351360.

The previous prime is 1311323133103. The next prime is 1311323133137. The reversal of 1311323133120 is 213313231131.

It is an interprime number because it is at equal distance from previous prime (1311323133103) and next prime (1311323133137).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 462220342 + ... + 462223178.

Almost surely, 2^{1311323133120} is an apocalyptic number.

1311323133120 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 1311323133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887375569408).

1311323133120 is an abundant number, since it is smaller than the sum of its proper divisors (4463428005696).

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

1311323133120 is a wasteful number, since it uses less digits than its factorization.

1311323133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2938 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 1311323133120 its reverse (213313231131), we get a palindrome (1524636364251).

The spelling of 1311323133120 in words is "one trillion, three hundred eleven billion, three hundred twenty-three million, one hundred thirty-three thousand, one hundred twenty".