10031281920 has 288 divisors, whose sum is σ = 38834691840. Its totient is φ = 2431733760.

The previous prime is 10031281913. The next prime is 10031281979. The reversal of 10031281920 is 2918213001.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 366967 + ... + 393353.

It is an arithmetic number, because the mean of its divisors is an integer number (134842680).

Almost surely, 2^10031281920 is an apocalyptic number.

10031281920 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 10031281920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19417345920).

10031281920 is an abundant number, since it is smaller than the sum of its proper divisors (28803409920).

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

10031281920 is a wasteful number, since it uses less digits than its factorization.

10031281920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26428 (or 26408 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 10031281920 its reverse (2918213001), we get a palindrome (12949494921).

The spelling of 10031281920 in words is "ten billion, thirty-one million, two hundred eighty-one thousand, nine hundred twenty".