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10131323310331 = 191917069394931
BaseRepresentation
bin1001001101101110000111…
…1011010101000011111011
31022212112201100012121221221
42103123201323111003323
52311442422231412311
633314133215212511
72063651431146256
oct223334173250373
938775640177857
1010131323310331
113256740981853
121177627817137
135864c223a102
1427050426609d
1512881404d671
hex936e1ed50fb

10131323310331 has 16 divisors (see below), whose sum is σ = 10721929881600. Its totient is φ = 9546469120800.

The previous prime is 10131323310289. The next prime is 10131323310347. The reversal of 10131323310331 is 13301332313101.

It is not a de Polignac number, because 10131323310331 - 27 = 10131323310203 is a prime.

It is a super-2 number, since 2×101313233103312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10131323310296 and 10131323310305.

It is not an unprimeable number, because it can be changed into a prime (10131323310131) 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, 25455936 + ... + 25850866.

It is an arithmetic number, because the mean of its divisors is an integer number (670120617600).

Almost surely, 210131323310331 is an apocalyptic number.

10131323310331 is a deficient number, since it is larger than the sum of its proper divisors (590606571269).

10131323310331 is a wasteful number, since it uses less digits than its factorization.

10131323310331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402210.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 10131323310331 its reverse (13301332313101), we get a palindrome (23432655623432).

The spelling of 10131323310331 in words is "ten trillion, one hundred thirty-one billion, three hundred twenty-three million, three hundred ten thousand, three hundred thirty-one".

Divisors: 1 19 191 3629 7069 134311 394931 1350179 7503689 25653401 75431821 1433204599 2791767239 53043577541 533227542649 10131323310331