137753001113 has 24 divisors (see below), whose sum is σ = 172624636800. Its totient is φ = 108956685600.

The previous prime is 137753001103. The next prime is 137753001131. The reversal of 137753001113 is 311100357731.

137753001113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137753001113 - 2⁶ = 137753001049 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137753001113.

It is not an unprimeable number, because it can be changed into a prime (137753001103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2068688 + ... + 2134238.

It is an arithmetic number, because the mean of its divisors is an integer number (7192693200).

Almost surely, 2^137753001113 is an apocalyptic number.

137753001113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

137753001113 is a deficient number, since it is larger than the sum of its proper divisors (34871635687).

137753001113 is a wasteful number, since it uses less digits than its factorization.

137753001113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68877 (or 68870 counting only the distinct ones).

The product of its (nonzero) digits is 6615, while the sum is 32.

Adding to 137753001113 its reverse (311100357731), we get a palindrome (448853358844).

The spelling of 137753001113 in words is "one hundred thirty-seven billion, seven hundred fifty-three million, one thousand, one hundred thirteen".