1101431413224 has 96 divisors (see below), whose sum is σ = 3031411822920. Its totient is φ = 361238212608.

The previous prime is 1101431413189. The next prime is 1101431413289. The reversal of 1101431413224 is 4223141341011.

It is a happy number.

1101431413224 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 431 + 4 + 1 + 3 + 224 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1009385921124 + 92045492100 = 1004682^2 + 303390^2 .

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, 620554 + ... + 1608710.

Almost surely, 2^{1101431413224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101431413224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515705911460).

1101431413224 is an abundant number, since it is smaller than the sum of its proper divisors (1929980409696).

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

1101431413224 is a wasteful number, since it uses less digits than its factorization.

1101431413224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988419 (or 988412 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1101431413224 its reverse (4223141341011), we get a palindrome (5324572754235).

The spelling of 1101431413224 in words is "one trillion, one hundred one billion, four hundred thirty-one million, four hundred thirteen thousand, two hundred twenty-four".