4137133241601 has 12 divisors (see below), whose sum is σ = 5990911673812. Its totient is φ = 2751141498336.

The previous prime is 4137133241539. The next prime is 4137133241653. The reversal of 4137133241601 is 1061423317314.

4137133241601 is a `hidden beast` number, since 4 + 1 + 3 + 7 + 1 + 3 + 3 + 2 + 41 + 601 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2342736360000 + 1794396881601 = 1530600^2 + 1339551^2 .

It is not a de Polignac number, because 4137133241601 - 2⁹ = 4137133241089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4137133281601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 578940346 + ... + 578947491.

Almost surely, 2^{4137133241601} is an apocalyptic number.

It is an amenable number.

4137133241601 is a deficient number, since it is larger than the sum of its proper divisors (1853778432211).

4137133241601 is a wasteful number, since it uses less digits than its factorization.

4137133241601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157888240 (or 1157888237 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 4137133241601 its reverse (1061423317314), we get a palindrome (5198556558915).

It can be divided in two parts, 4137133 and 241601, that added together give a palindrome (4378734).

The spelling of 4137133241601 in words is "four trillion, one hundred thirty-seven billion, one hundred thirty-three million, two hundred forty-one thousand, six hundred one".