10031442513540 has 192 divisors, whose sum is σ = 32896874250240. Its totient is φ = 2236187036160.

The previous prime is 10031442513539. The next prime is 10031442513553. The reversal of 10031442513540 is 4531524413001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11517501 + ... + 12357819.

It is an arithmetic number, because the mean of its divisors is an integer number (171337886720).

Almost surely, 2^{10031442513540} is an apocalyptic number.

10031442513540 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 10031442513540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16448437125120).

10031442513540 is an abundant number, since it is smaller than the sum of its proper divisors (22865431736700).

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

10031442513540 is a wasteful number, since it uses less digits than its factorization.

10031442513540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841042 (or 841040 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 10031442513540 its reverse (4531524413001), we get a palindrome (14562966926541).

The spelling of 10031442513540 in words is "ten trillion, thirty-one billion, four hundred forty-two million, five hundred thirteen thousand, five hundred forty".