10210132123213 has 16 divisors (see below), whose sum is σ = 11175042263616. Its totient is φ = 9251343728640.

The previous prime is 10210132123193. The next prime is 10210132123223. The reversal of 10210132123213 is 31232123101201.

10210132123213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10210132123213 - 2¹³ = 10210132115021 is a prime.

It is a super-3 number, since 3×10210132123213³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210132123223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127789645 + ... + 127869517.

It is an arithmetic number, because the mean of its divisors is an integer number (698440141476).

Almost surely, 2^{10210132123213} is an apocalyptic number.

It is an amenable number.

10210132123213 is a deficient number, since it is larger than the sum of its proper divisors (964910140403).

10210132123213 is a wasteful number, since it uses less digits than its factorization.

10210132123213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118044.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 10210132123213 its reverse (31232123101201), we get a palindrome (41442255224414).

The spelling of 10210132123213 in words is "ten trillion, two hundred ten billion, one hundred thirty-two million, one hundred twenty-three thousand, two hundred thirteen".