211331001310000 has 400 divisors, whose sum is σ = 601896383228448. Its totient is φ = 70842700800000.

The previous prime is 211331001309991. The next prime is 211331001310019. The reversal of 211331001310000 is 13100133112.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×211331001310000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1088132902 + ... + 1088327098.

Almost surely, 2^{211331001310000} is an apocalyptic number.

211331001310000 is a gapful number since it is divisible by the number (20) 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 211331001310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300948191614224).

211331001310000 is an abundant number, since it is smaller than the sum of its proper divisors (390565381918448).

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

211331001310000 is a wasteful number, since it uses less digits than its factorization.

211331001310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195010 (or 194989 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 211331001310000 its reverse (13100133112), we get a palindrome (211344101443112).

The spelling of 211331001310000 in words is "two hundred eleven trillion, three hundred thirty-one billion, one million, three hundred ten thousand".