211312131333100 has 144 divisors (see below), whose sum is σ = 527903589007872. Its totient is φ = 71917732938240.

The previous prime is 211312131333091. The next prime is 211312131333113. The reversal of 211312131333100 is 1333131213112.

211312131333100 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 2×211312131333100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 3025322377 + ... + 3025392223.

It is an arithmetic number, because the mean of its divisors is an integer number (3665997145888).

Almost surely, 2^{211312131333100} is an apocalyptic number.

211312131333100 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 211312131333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263951794503936).

211312131333100 is an abundant number, since it is smaller than the sum of its proper divisors (316591457674772).

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

211312131333100 is a wasteful number, since it uses less digits than its factorization.

211312131333100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101552 (or 101545 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 211312131333100 its reverse (1333131213112), we get a palindrome (212645262546212).

The spelling of 211312131333100 in words is "two hundred eleven trillion, three hundred twelve billion, one hundred thirty-one million, three hundred thirty-three thousand, one hundred".