10231413413100 has 288 divisors, whose sum is σ = 32515148397312. Its totient is φ = 2463377280000.

The previous prime is 10231413413087. The next prime is 10231413413267. The reversal of 10231413413100 is 131431413201.

It is a happy number.

10231413413100 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 2×10231413413100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1668797035 + ... + 1668803165.

It is an arithmetic number, because the mean of its divisors is an integer number (112899820824).

Almost surely, 2^{10231413413100} is an apocalyptic number.

10231413413100 is a gapful number since it is divisible by the number (10) 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 10231413413100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16257574198656).

10231413413100 is an abundant number, since it is smaller than the sum of its proper divisors (22283734984212).

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

10231413413100 is a wasteful number, since it uses less digits than its factorization.

10231413413100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9537 (or 9530 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 10231413413100 its reverse (131431413201), we get a palindrome (10362844826301).

The spelling of 10231413413100 in words is "ten trillion, two hundred thirty-one billion, four hundred thirteen million, four hundred thirteen thousand, one hundred".