101131012100003 has 8 divisors (see below), whose sum is σ = 101142238348320. Its totient is φ = 101119786511040.

The previous prime is 101131012099987. The next prime is 101131012100017. The reversal of 101131012100003 is 300001210131101.

It is a happy number.

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 101131012100003 - 2⁴ = 101131012099987 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101131012100603) 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, 345628001 + ... + 345920477.

It is an arithmetic number, because the mean of its divisors is an integer number (12642779793540).

Almost surely, 2^{101131012100003} is an apocalyptic number.

101131012100003 is a deficient number, since it is larger than the sum of its proper divisors (11226248317).

101131012100003 is a wasteful number, since it uses less digits than its factorization.

101131012100003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329677.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 101131012100003 its reverse (300001210131101), we get a palindrome (401132222231104).

The spelling of 101131012100003 in words is "one hundred one trillion, one hundred thirty-one billion, twelve million, one hundred thousand, three".