212010132113 has 24 divisors (see below), whose sum is σ = 240557442048. Its totient is φ = 185718167712.

The previous prime is 212010132079. The next prime is 212010132121. The reversal of 212010132113 is 311231010212.

It is not a de Polignac number, because 212010132113 - 2²⁶ = 211943023249 is a prime.

It is a super-2 number, since 2×212010132113² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212010132091 and 212010132100.

It is not an unprimeable number, because it can be changed into a prime (212010132013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 752006 + ... + 994752.

It is an arithmetic number, because the mean of its divisors is an integer number (10023226752).

Almost surely, 2^212010132113 is an apocalyptic number.

212010132113 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

212010132113 is a deficient number, since it is larger than the sum of its proper divisors (28547309935).

212010132113 is a wasteful number, since it uses less digits than its factorization.

212010132113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242933 (or 242910 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 212010132113 its reverse (311231010212), we get a palindrome (523241142325).

The spelling of 212010132113 in words is "two hundred twelve billion, ten million, one hundred thirty-two thousand, one hundred thirteen".