211013131000 has 128 divisors (see below), whose sum is σ = 564588610560. Its totient is φ = 72311568000.

The previous prime is 211013130967. The next prime is 211013131001. The reversal of 211013131000 is 131310112.

211013131000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211013131000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211013131001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 16870749 + ... + 16883251.

It is an arithmetic number, because the mean of its divisors is an integer number (4410848520).

Almost surely, 2^211013131000 is an apocalyptic number.

211013131000 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 211013131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282294305280).

211013131000 is an abundant number, since it is smaller than the sum of its proper divisors (353575479560).

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

211013131000 is a wasteful number, since it uses less digits than its factorization.

211013131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14942 (or 14928 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 211013131000 its reverse (131310112), we get a palindrome (211144441112).

The spelling of 211013131000 in words is "two hundred eleven billion, thirteen million, one hundred thirty-one thousand".