1331023013334 has 96 divisors (see below), whose sum is σ = 3445062334560. Its totient is φ = 379814533056.

The previous prime is 1331023013279. The next prime is 1331023013399. The reversal of 1331023013334 is 4333103201331.

1331023013334 is a `hidden beast` number, since 1 + 3 + 310 + 2 + 3 + 0 + 13 + 334 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1331023013298 and 1331023013307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1793284 + ... + 2424440.

It is an arithmetic number, because the mean of its divisors is an integer number (35886065985).

Almost surely, 2^{1331023013334} is an apocalyptic number.

1331023013334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331023013334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722531167280).

1331023013334 is an abundant number, since it is smaller than the sum of its proper divisors (2114039321226).

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

1331023013334 is a wasteful number, since it uses less digits than its factorization.

1331023013334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631979 (or 631966 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 1331023013334 its reverse (4333103201331), we get a palindrome (5664126214665).

The spelling of 1331023013334 in words is "one trillion, three hundred thirty-one billion, twenty-three million, thirteen thousand, three hundred thirty-four".