10434441201131 has 32 divisors (see below), whose sum is σ = 11171794920000. Its totient is φ = 9717488911872.

The previous prime is 10434441201127. The next prime is 10434441201137. The reversal of 10434441201131 is 13110214443401.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10434441201131 - 2² = 10434441201127 is a prime.

It is a super-2 number, since 2×10434441201131² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10434441201094 and 10434441201103.

It is not an unprimeable number, because it can be changed into a prime (10434441201137) 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, 270604505 + ... + 270643061.

It is an arithmetic number, because the mean of its divisors is an integer number (349118591250).

Almost surely, 2^{10434441201131} is an apocalyptic number.

10434441201131 is a deficient number, since it is larger than the sum of its proper divisors (737353718869).

10434441201131 is a wasteful number, since it uses less digits than its factorization.

10434441201131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39711.

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 10434441201131 its reverse (13110214443401), we get a palindrome (23544655644532).

The spelling of 10434441201131 in words is "ten trillion, four hundred thirty-four billion, four hundred forty-one million, two hundred one thousand, one hundred thirty-one".