135013401135 has 24 divisors (see below), whose sum is σ = 234067526784. Its totient is φ = 71993517120.

The previous prime is 135013401121. The next prime is 135013401137. The reversal of 135013401135 is 531104310531.

It is a happy number.

135013401135 is a `hidden beast` number, since 1 + 3 + 501 + 3 + 40 + 113 + 5 = 666.

It is not a de Polignac number, because 135013401135 - 2¹⁰ = 135013400111 is a prime.

It is a super-3 number, since 3×135013401135³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135013401099 and 135013401108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135013401137) 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, 41311 + ... + 521280.

It is an arithmetic number, because the mean of its divisors is an integer number (9752813616).

Almost surely, 2^135013401135 is an apocalyptic number.

135013401135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135013401135 is a deficient number, since it is larger than the sum of its proper divisors (99054125649).

135013401135 is a wasteful number, since it uses less digits than its factorization.

135013401135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567935 (or 567932 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 135013401135 its reverse (531104310531), we get a palindrome (666117711666).

The spelling of 135013401135 in words is "one hundred thirty-five billion, thirteen million, four hundred one thousand, one hundred thirty-five".