1333220131320 has 256 divisors, whose sum is σ = 5035965281280. Its totient is φ = 274289664000.

The previous prime is 1333220131291. The next prime is 1333220131337. The reversal of 1333220131320 is 231310223331.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 218944 + ... + 1647536.

It is an arithmetic number, because the mean of its divisors is an integer number (19671739380).

Almost surely, 2^{1333220131320} is an apocalyptic number.

1333220131320 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 1333220131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2517982640640).

1333220131320 is an abundant number, since it is smaller than the sum of its proper divisors (3702745149960).

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

1333220131320 is a wasteful number, since it uses less digits than its factorization.

1333220131320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428726 (or 1428722 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 1333220131320 its reverse (231310223331), we get a palindrome (1564530354651).

It can be divided in two parts, 1333 and 220131320, that added together give a triangular number (220132653 = T₂₀₉₈₂).

The spelling of 1333220131320 in words is "one trillion, three hundred thirty-three billion, two hundred twenty million, one hundred thirty-one thousand, three hundred twenty".