10205011311 has 16 divisors (see below), whose sum is σ = 15716809728. Its totient is φ = 5821040000.

The previous prime is 10205011307. The next prime is 10205011337. The reversal of 10205011311 is 11311050201.

It is a cyclic number.

It is not a de Polignac number, because 10205011311 - 2² = 10205011307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10205011301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9094815 + ... + 9095936.

It is an arithmetic number, because the mean of its divisors is an integer number (982300608).

Almost surely, 2^10205011311 is an apocalyptic number.

10205011311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10205011311 is a deficient number, since it is larger than the sum of its proper divisors (5511798417).

10205011311 is a wasteful number, since it uses less digits than its factorization.

10205011311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18190782.

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 10205011311 its reverse (11311050201), we get a palindrome (21516061512).

The spelling of 10205011311 in words is "ten billion, two hundred five million, eleven thousand, three hundred eleven".