1007334241136 has 20 divisors (see below), whose sum is σ = 1952444176200. Its totient is φ = 503477679552.

The previous prime is 1007334241117. The next prime is 1007334241189. The reversal of 1007334241136 is 6311424337001.

1007334241136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1007334241096 and 1007334241105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11796191 + ... + 11881278.

It is an arithmetic number, because the mean of its divisors is an integer number (97622208810).

Almost surely, 2^{1007334241136} is an apocalyptic number.

1007334241136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1007334241136 is a deficient number, since it is larger than the sum of its proper divisors (945109935064).

1007334241136 is a wasteful number, since it uses less digits than its factorization.

1007334241136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23680136 (or 23680130 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

Adding to 1007334241136 its reverse (6311424337001), we get a palindrome (7318758578137).

The spelling of 1007334241136 in words is "one trillion, seven billion, three hundred thirty-four million, two hundred forty-one thousand, one hundred thirty-six".