10134344343101 has 64 divisors (see below), whose sum is σ = 11519428144896. Its totient is φ = 8838180864000.

The previous prime is 10134344343073. The next prime is 10134344343157.

10134344343101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10134344343101 - 2¹⁰ = 10134344342077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10134344343901) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1077773066 + ... + 1077782468.

It is an arithmetic number, because the mean of its divisors is an integer number (179991064764).

Almost surely, 2^{10134344343101} is an apocalyptic number.

10134344343101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10134344343101 is a deficient number, since it is larger than the sum of its proper divisors (1385083801795).

10134344343101 is a wasteful number, since it uses less digits than its factorization.

10134344343101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9822.

The product of its (nonzero) digits is 20736, while the sum is 32.

It can be divided in two parts, 1013434 and 4343101, that added together give a palindrome (5356535).

The spelling of 10134344343101 in words is "ten trillion, one hundred thirty-four billion, three hundred forty-four million, three hundred forty-three thousand, one hundred one".