125131133303011 has 32 divisors (see below), whose sum is σ = 141649218766080. Its totient is φ = 109534878288000.

The previous prime is 125131133302999. The next prime is 125131133303021. The reversal of 125131133303011 is 110303331131521.

It is not a de Polignac number, because 125131133303011 - 2²⁷ = 125130999085283 is a prime.

It is a super-2 number, since 2×125131133303011² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125131133303021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88873660 + ... + 90270646.

It is an arithmetic number, because the mean of its divisors is an integer number (4426538086440).

Almost surely, 2^{125131133303011} is an apocalyptic number.

125131133303011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

125131133303011 is a deficient number, since it is larger than the sum of its proper divisors (16518085463069).

125131133303011 is a wasteful number, since it uses less digits than its factorization.

125131133303011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399315.

The product of its (nonzero) digits is 2430, while the sum is 28.

Adding to 125131133303011 its reverse (110303331131521), we get a palindrome (235434464434532).

The spelling of 125131133303011 in words is "one hundred twenty-five trillion, one hundred thirty-one billion, one hundred thirty-three million, three hundred three thousand, eleven".