101433320004 has 96 divisors (see below), whose sum is σ = 250758144000. Its totient is φ = 31846928256.

The previous prime is 101433319987. The next prime is 101433320033. The reversal of 101433320004 is 400023334101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8475777 + ... + 8487735.

It is an arithmetic number, because the mean of its divisors is an integer number (2612064000).

Almost surely, 2^101433320004 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 101433320004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125379072000).

101433320004 is an abundant number, since it is smaller than the sum of its proper divisors (149324823996).

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

101433320004 is a wasteful number, since it uses less digits than its factorization.

101433320004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12457 (or 12455 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 101433320004 its reverse (400023334101), we get a palindrome (501456654105).

The spelling of 101433320004 in words is "one hundred one billion, four hundred thirty-three million, three hundred twenty thousand, four".