1311233112000 has 672 divisors, whose sum is σ = 5436220068864. Its totient is φ = 295481088000.

The previous prime is 1311233111987. The next prime is 1311233112001. The reversal of 1311233112000 is 2113321131.

1311233112000 is a `hidden beast` number, since 1 + 31 + 123 + 311 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×1311233112000³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311233112001) 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, 35765679 + ... + 35802321.

Almost surely, 2^{1311233112000} is an apocalyptic number.

1311233112000 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 1311233112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2718110034432).

1311233112000 is an abundant number, since it is smaller than the sum of its proper divisors (4124986956864).

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

1311233112000 is a wasteful number, since it uses less digits than its factorization.

1311233112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36754 (or 36731 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1311233112000 its reverse (2113321131), we get a palindrome (1313346433131).

The spelling of 1311233112000 in words is "one trillion, three hundred eleven billion, two hundred thirty-three million, one hundred twelve thousand".