127381347118501 has 24 divisors (see below), whose sum is σ = 149031685637016. Its totient is φ = 108555483778560.

The previous prime is 127381347118483. The next prime is 127381347118667. The reversal of 127381347118501 is 105811743183721.

It can be written as a sum of positive squares in 4 ways, for example, as 6735068230401 + 120646278888100 = 2595201^2 + 10983910^2 .

It is not a de Polignac number, because 127381347118501 - 2¹³ = 127381347110309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127381347118001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36438865 + ... + 39781321.

It is an arithmetic number, because the mean of its divisors is an integer number (6209653568209).

Almost surely, 2^{127381347118501} is an apocalyptic number.

It is an amenable number.

127381347118501 is a deficient number, since it is larger than the sum of its proper divisors (21650338518515).

127381347118501 is a wasteful number, since it uses less digits than its factorization.

127381347118501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3346949 (or 3346942 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 52.

The spelling of 127381347118501 in words is "one hundred twenty-seven trillion, three hundred eighty-one billion, three hundred forty-seven million, one hundred eighteen thousand, five hundred one".