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130131131001 = 3711831333667
BaseRepresentation
bin111100100110001101…
…0110111101001111001
3110102220001200101112120
41321030122313221321
54113002032143001
6135440441431453
712254525235324
oct1711432675171
9412801611476
10130131131001
11502086a3863
122127879b589
13c36b0c8041
146426a817bb
1535b9617236
hex1e4c6b7a79

130131131001 has 16 divisors (see below), whose sum is σ = 176048575488. Its totient is φ = 85485229200.

The previous prime is 130131130973. The next prime is 130131131023. The reversal of 130131131001 is 100131131031.

It is not a de Polignac number, because 130131131001 - 221 = 130129033849 is a prime.

It is a super-2 number, since 2×1301311310012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130131133001) 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, 223170 + ... + 556836.

It is an arithmetic number, because the mean of its divisors is an integer number (11003035968).

Almost surely, 2130131131001 is an apocalyptic number.

It is an amenable number.

130131131001 is a deficient number, since it is larger than the sum of its proper divisors (45917444487).

130131131001 is a wasteful number, since it uses less digits than its factorization.

130131131001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335572.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 130131131001 its reverse (100131131031), we get a palindrome (230262262032).

It can be divided in two parts, 130 and 131131001, that added together give a palindrome (131131131).

The spelling of 130131131001 in words is "one hundred thirty billion, one hundred thirty-one million, one hundred thirty-one thousand, one".

Divisors: 1 3 71 213 1831 5493 130001 333667 390003 1001001 23690357 71071071 610944277 1832832831 43377043667 130131131001