1331138282264 has 64 divisors (see below), whose sum is σ = 2922320885760. Its totient is φ = 556588091520.

The previous prime is 1331138282261. The next prime is 1331138282269. The reversal of 1331138282264 is 4622828311331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331138282261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36629 + ... + 1632059.

It is an arithmetic number, because the mean of its divisors is an integer number (45661263840).

Almost surely, 2^{1331138282264} is an apocalyptic number.

1331138282264 is a gapful number since it is divisible by the number (14) 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 1331138282264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461160442880).

1331138282264 is an abundant number, since it is smaller than the sum of its proper divisors (1591182603496).

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

1331138282264 is a wasteful number, since it uses less digits than its factorization.

1331138282264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595808 (or 1595804 counting only the distinct ones).

The product of its digits is 331776, while the sum is 44.

The spelling of 1331138282264 in words is "one trillion, three hundred thirty-one billion, one hundred thirty-eight million, two hundred eighty-two thousand, two hundred sixty-four".