1535013314131 has 16 divisors (see below), whose sum is σ = 1678198786560. Its totient is φ = 1392435709920.

The previous prime is 1535013314123. The next prime is 1535013314249. The reversal of 1535013314131 is 1314133105351.

It is a cyclic number.

It is not a de Polignac number, because 1535013314131 - 2³ = 1535013314123 is a prime.

It is a super-2 number, since 2×1535013314131² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1535013314093 and 1535013314102.

It is not an unprimeable number, because it can be changed into a prime (1535013314101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23433781 + ... + 23499193.

It is an arithmetic number, because the mean of its divisors is an integer number (104887424160).

Almost surely, 2^{1535013314131} is an apocalyptic number.

1535013314131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1535013314131 is a deficient number, since it is larger than the sum of its proper divisors (143185472429).

1535013314131 is a wasteful number, since it uses less digits than its factorization.

1535013314131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70026.

The product of its (nonzero) digits is 8100, while the sum is 31.

Adding to 1535013314131 its reverse (1314133105351), we get a palindrome (2849146419482).

The spelling of 1535013314131 in words is "one trillion, five hundred thirty-five billion, thirteen million, three hundred fourteen thousand, one hundred thirty-one".