31144042121104 has 160 divisors (see below), whose sum is σ = 71616288585600. Its totient is φ = 12959789875200.

The previous prime is 31144042121089. The next prime is 31144042121111. The reversal of 31144042121104 is 40112124044113.

It is a happy number.

It is a super-2 number, since 2×31144042121104² (a number of 28 digits) contains 22 as substring.

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, 30503872 + ... + 31508320.

It is an arithmetic number, because the mean of its divisors is an integer number (447601803660).

Almost surely, 2^{31144042121104} is an apocalyptic number.

31144042121104 is a gapful number since it is divisible by the number (34) 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 31144042121104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35808144292800).

31144042121104 is an abundant number, since it is smaller than the sum of its proper divisors (40472246464496).

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

31144042121104 is a wasteful number, since it uses less digits than its factorization.

31144042121104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004769 (or 1004763 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 31144042121104 its reverse (40112124044113), we get a palindrome (71256166165217).

The spelling of 31144042121104 in words is "thirty-one trillion, one hundred forty-four billion, forty-two million, one hundred twenty-one thousand, one hundred four".