1311121010100 has 720 divisors, whose sum is σ = 4525501349376. Its totient is φ = 290535168000.

The previous prime is 1311121010093. The next prime is 1311121010119. The reversal of 1311121010100 is 10101211131.

It is a super-3 number, since 3×1311121010100³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 18466493065 + ... + 18466493135.

Almost surely, 2^{1311121010100} is an apocalyptic number.

1311121010100 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 1311121010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262750674688).

1311121010100 is an abundant number, since it is smaller than the sum of its proper divisors (3214380339276).

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

1311121010100 is a wasteful number, since it uses less digits than its factorization.

1311121010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 1311121010100 its reverse (10101211131), we get a palindrome (1321222221231).

The spelling of 1311121010100 in words is "one trillion, three hundred eleven billion, one hundred twenty-one million, ten thousand, one hundred".