101431322240 has 64 divisors (see below), whose sum is σ = 243217343520. Its totient is φ = 40449868800.

The previous prime is 101431322231. The next prime is 101431322297. The reversal of 101431322240 is 42223134101.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27566 + ... + 451245.

Almost surely, 2^101431322240 is an apocalyptic number.

101431322240 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 101431322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121608671760).

101431322240 is an abundant number, since it is smaller than the sum of its proper divisors (141786021280).

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

101431322240 is an equidigital number, since it uses as much as digits as its factorization.

101431322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479161 (or 479149 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 101431322240 its reverse (42223134101), we get a palindrome (143654456341).

The spelling of 101431322240 in words is "one hundred one billion, four hundred thirty-one million, three hundred twenty-two thousand, two hundred forty".