131211121033300 has 144 divisors (see below), whose sum is σ = 355042952546688. Its totient is φ = 40890379622400.

The previous prime is 131211121033219. The next prime is 131211121033361. The reversal of 131211121033300 is 3330121112131.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 46500432 + ... + 49241368.

It is an arithmetic number, because the mean of its divisors is an integer number (2465576059352).

Almost surely, 2^{131211121033300} is an apocalyptic number.

131211121033300 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 131211121033300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177521476273344).

131211121033300 is an abundant number, since it is smaller than the sum of its proper divisors (223831831513388).

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

131211121033300 is a wasteful number, since it uses less digits than its factorization.

131211121033300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2747186 (or 2747179 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 131211121033300 its reverse (3330121112131), we get a palindrome (134541242145431).

The spelling of 131211121033300 in words is "one hundred thirty-one trillion, two hundred eleven billion, one hundred twenty-one million, thirty-three thousand, three hundred".