101112131003 has 8 divisors (see below), whose sum is σ = 112644814800. Its totient is φ = 90115851168.

The previous prime is 101112130993. The next prime is 101112131027. The reversal of 101112131003 is 300131211101.

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 101112131003 - 2²⁴ = 101095353787 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101112131083) 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, 134100593 + ... + 134101346.

It is an arithmetic number, because the mean of its divisors is an integer number (14080601850).

Almost surely, 2^101112131003 is an apocalyptic number.

101112131003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101112131003 is a deficient number, since it is larger than the sum of its proper divisors (11532683797).

101112131003 is a wasteful number, since it uses less digits than its factorization.

101112131003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268201981.

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

Adding to 101112131003 its reverse (300131211101), we get a palindrome (401243342104).

The spelling of 101112131003 in words is "one hundred one billion, one hundred twelve million, one hundred thirty-one thousand, three".