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132131013 = 3711355681
BaseRepresentation
bin1111110000000…
…10100011000101
3100012121221200020
413320002203011
5232311143023
621040005353
73163044420
oct770024305
9305557606
10132131013
1168647a93
1238300859
13214b3741
14137969b7
15b8eede3
hex7e028c5

132131013 has 16 divisors (see below), whose sum is σ = 203127936. Its totient is φ = 74833920.

The previous prime is 132131011. The next prime is 132131059. The reversal of 132131013 is 310131231.

It is not a de Polignac number, because 132131013 - 21 = 132131011 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 132130983 and 132131001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132131011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25468 + ... + 30213.

It is an arithmetic number, because the mean of its divisors is an integer number (12695496).

Almost surely, 2132131013 is an apocalyptic number.

It is an amenable number.

132131013 is a deficient number, since it is larger than the sum of its proper divisors (70996923).

132131013 is a wasteful number, since it uses less digits than its factorization.

132131013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55804.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 132131013 is about 11494.8254880185. The cubic root of 132131013 is about 509.3327336578.

Adding to 132131013 its reverse (310131231), we get a palindrome (442262244).

The spelling of 132131013 in words is "one hundred thirty-two million, one hundred thirty-one thousand, thirteen".

Divisors: 1 3 7 21 113 339 791 2373 55681 167043 389767 1169301 6291953 18875859 44043671 132131013