1331332302100 has 36 divisors (see below), whose sum is σ = 2889406683324. Its totient is φ = 532456314880.

The previous prime is 1331332302089. The next prime is 1331332302119. The reversal of 1331332302100 is 12032331331.

It can be written as a sum of positive squares in 6 ways, for example, as 12100880016 + 1319231422084 = 110004^2 + 1148578^2 .

It is a super-2 number, since 2×1331332302100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 256387 + ... + 1651786.

It is an arithmetic number, because the mean of its divisors is an integer number (80261296759).

Almost surely, 2^{1331332302100} is an apocalyptic number.

1331332302100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331332302100 is an abundant number, since it is smaller than the sum of its proper divisors (1558074381224).

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

1331332302100 is a wasteful number, since it uses less digits than its factorization.

1331332302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915164 (or 1915157 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 1331332302100 its reverse (12032331331), we get a palindrome (1343364633431).

The spelling of 1331332302100 in words is "one trillion, three hundred thirty-one billion, three hundred thirty-two million, three hundred two thousand, one hundred".