1333222131300 has 288 divisors, whose sum is σ = 3934998144000. Its totient is φ = 348473664000.

The previous prime is 1333222131299. The next prime is 1333222131361. The reversal of 1333222131300 is 31312223331.

It is a super-3 number, since 3×1333222131300³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1373039815 + ... + 1373040785.

It is an arithmetic number, because the mean of its divisors is an integer number (13663188000).

Almost surely, 2^{1333222131300} is an apocalyptic number.

1333222131300 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 1333222131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1967499072000).

1333222131300 is an abundant number, since it is smaller than the sum of its proper divisors (2601776012700).

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

1333222131300 is a wasteful number, since it uses less digits than its factorization.

1333222131300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507 (or 1500 counting only the distinct ones).

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

Adding to 1333222131300 its reverse (31312223331), we get a palindrome (1364534354631).

It can be divided in two parts, 133322 and 2131300, that added together give a palindrome (2264622).

The spelling of 1333222131300 in words is "one trillion, three hundred thirty-three billion, two hundred twenty-two million, one hundred thirty-one thousand, three hundred".