10414213132311 has 32 divisors (see below), whose sum is σ = 15811222944000. Its totient is φ = 6771057227424.

The previous prime is 10414213132303. The next prime is 10414213132357. The reversal of 10414213132311 is 11323131241401.

10414213132311 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 4 + 213 + 132 + 311 = 666.

It is not a de Polignac number, because 10414213132311 - 2³ = 10414213132303 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10414213132361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6040696 + ... + 7570893.

It is an arithmetic number, because the mean of its divisors is an integer number (494100717000).

Almost surely, 2^{10414213132311} is an apocalyptic number.

10414213132311 is a deficient number, since it is larger than the sum of its proper divisors (5397009811689).

10414213132311 is a wasteful number, since it uses less digits than its factorization.

10414213132311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13612300 (or 13612294 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 10414213132311 its reverse (11323131241401), we get a palindrome (21737344373712).

The spelling of 10414213132311 in words is "ten trillion, four hundred fourteen billion, two hundred thirteen million, one hundred thirty-two thousand, three hundred eleven".