101000413011 has 8 divisors (see below), whose sum is σ = 134668984320. Its totient is φ = 67332725192.

The previous prime is 101000412991. The next prime is 101000413037. The reversal of 101000413011 is 110314000101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101000413011 - 2¹⁰ = 101000411987 is a prime.

It is a super-2 number, since 2×101000413011² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101000412011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121846 + ... + 465668.

It is an arithmetic number, because the mean of its divisors is an integer number (16833623040).

Almost surely, 2^101000413011 is an apocalyptic number.

101000413011 is a deficient number, since it is larger than the sum of its proper divisors (33668571309).

101000413011 is an equidigital number, since it uses as much as digits as its factorization.

101000413011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441745.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 101000413011 its reverse (110314000101), we get a palindrome (211314413112).

The spelling of 101000413011 in words is "one hundred one billion, four hundred thirteen thousand, eleven".