10232300213310 has 256 divisors, whose sum is σ = 31890375475200. Its totient is φ = 2046298028544.

The previous prime is 10232300213293. The next prime is 10232300213321. The reversal of 10232300213310 is 1331200323201.

10232300213310 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 2×10232300213310² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 738927 + ... + 4583733.

It is an arithmetic number, because the mean of its divisors is an integer number (124571779200).

Almost surely, 2^{10232300213310} is an apocalyptic number.

10232300213310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10232300213310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15945187737600).

10232300213310 is an abundant number, since it is smaller than the sum of its proper divisors (21658075261890).

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

10232300213310 is a wasteful number, since it uses less digits than its factorization.

10232300213310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3844895.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 10232300213310 its reverse (1331200323201), we get a palindrome (11563500536511).

The spelling of 10232300213310 in words is "ten trillion, two hundred thirty-two billion, three hundred million, two hundred thirteen thousand, three hundred ten".