1013241231400 has 96 divisors (see below), whose sum is σ = 2379921481080. Its totient is φ = 401146880000.

The previous prime is 1013241231377. The next prime is 1013241231413. The reversal of 1013241231400 is 41321423101.

1013241231400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 155909681316 + 857331550084 = 394854^2 + 925922^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75965532 + ... + 75978868.

Almost surely, 2^{1013241231400} is an apocalyptic number.

1013241231400 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 1013241231400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189960740540).

1013241231400 is an abundant number, since it is smaller than the sum of its proper divisors (1366680249680).

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

1013241231400 is a wasteful number, since it uses less digits than its factorization.

1013241231400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17215 (or 17206 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 1013241231400 its reverse (41321423101), we get a palindrome (1054562654501).

The spelling of 1013241231400 in words is "one trillion, thirteen billion, two hundred forty-one million, two hundred thirty-one thousand, four hundred".