101303031424 has 128 divisors (see below), whose sum is σ = 243228873600. Its totient is φ = 41055289344.

The previous prime is 101303031397. The next prime is 101303031451. The reversal of 101303031424 is 424130303101.

It is an interprime number because it is at equal distance from previous prime (101303031397) and next prime (101303031451).

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 101303031395 and 101303031404.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9817692 + ... + 9828004.

It is an arithmetic number, because the mean of its divisors is an integer number (1900225575).

Almost surely, 2^101303031424 is an apocalyptic number.

101303031424 is a gapful number since it is divisible by the number (14) 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 101303031424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121614436800).

101303031424 is an abundant number, since it is smaller than the sum of its proper divisors (141925842176).

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

101303031424 is a wasteful number, since it uses less digits than its factorization.

101303031424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10930 (or 10918 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 101303031424 its reverse (424130303101), we get a palindrome (525433334525).

The spelling of 101303031424 in words is "one hundred one billion, three hundred three million, thirty-one thousand, four hundred twenty-four".