101141413011 has 96 divisors (see below), whose sum is σ = 162303897600. Its totient is φ = 60421386240.

The previous prime is 101141413007. The next prime is 101141413013. The reversal of 101141413011 is 110314141101.

101141413011 is a `hidden beast` number, since 101 + 141 + 413 + 0 + 11 = 666.

It is not a de Polignac number, because 101141413011 - 2² = 101141413007 is a prime.

It is a super-2 number, since 2×101141413011² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101141413013) 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 95 ways as a sum of consecutive naturals, for example, 79077870 + ... + 79079148.

It is an arithmetic number, because the mean of its divisors is an integer number (1690665600).

Almost surely, 2^101141413011 is an apocalyptic number.

101141413011 is a deficient number, since it is larger than the sum of its proper divisors (61162484589).

101141413011 is a wasteful number, since it uses less digits than its factorization.

101141413011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 101141413011 its reverse (110314141101), we get a palindrome (211455554112).

The spelling of 101141413011 in words is "one hundred one billion, one hundred forty-one million, four hundred thirteen thousand, eleven".